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Posts for 2018/12/13

toothpick-like sequence exploration

¶ ↫ 2018-12-13 bookmarks mathematics

These are some pretty neat patterns.

via Numberphile

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2017 (143)

June (18)
			2	3	3	1
1	6	2	8	9	10	11
12	13	14	15	3	1	18
19	1	21	22	23	24	25
26	27	4	29	30

July (17)
					1	2
1	1	1	6	1	8	9
2	1	2	13	14	15	16
17	18	1	1	21	22	1
24	25	26	1	28	2	30
2

August (9)
	1	2	3	4	5	6
7	8	9	10	11	1	13
14	1	1	17	1	1	20
21	22	23	24	1	1	27
1	29	1	31

September (14)
				1	2	1
1	5	2	7	8	9	10
11	1	13	14	1	16	17
1	1	20	21	1	23	24
1	3	27	1	29	30

October (32)
						1
1	1	3	1	6	7	8
1	10	1	2	1	14	15
2	2	2	1	3	21	3
1	24	25	2	2	2	29
30	1

November (26)
		2	2	3	4	2
6	1	8	1	10	1	12
13	14	1	16	1	1	19
1	21	3	23	3	2	26
5	2	29	30

December (27)
				2	3	5
4	1	6	7	2	2	4
11	12	2	14	1	16	17
3	19	20	21	22	23	24
25	26	27	28	2	30	31

2018 (101)

January (17)
1	2	3	4	5	6	2
8	9	10	1	2	13	14
15	1	17	18	19	20	2
2	4	1	25	26	1	28
29	30	1

February (17)
			1	1	3	4
1	1	2	8	2	2	11
1	1	14	15	1	17	2
1	20	21	22	1	24	25
1	27	28

March (8)
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1	1	28	29	30	31

April (4)
						1
2	3	4	5	6	7	8
9	10	11	12	1	14	15
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1	1	25	26	27	28	29
30

May (9)
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21	22	23	24	25	26	27
28	1	3	31

June (15)
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11	2	1	14	2	16	17
1	19	1	21	22	23	1
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July (9)
						1
1	1	4	5	6	7	8
9	10	1	12	13	1	15
16	17	18	19	1	1	22
1	24	25	26	27	28	29
2	31

August (3)
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6	7	8	9	10	11	12
13	14	15	16	17	18	1
1	21	22	23	24	25	26
27	28	29	30	31

September (8)
					1	2
3	4	5	6	7	8	9
10	11	12	13	14	15	1
3	18	19	1	21	22	23
24	25	1	27	28	2	30

October (3)
1	2	3	4	5	6	7
8	9	10	11	1	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	1
29	30	1

November (6)
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12	13	14	15	16	1	18
19	20	21	22	23	24	25
26	27	28	29	30

December (2)
					1	2
3	4	5	6	7	8	9
10	11	12	1	14	15	1
17	18	19	20	21	22	23
24	25	26	27	28	29	30
31

2019 (55)

January (3)
	1	2	3	4	5	6
7	8	9	10	11	12	13
14	15	1	17	18	19	20
21	22	23	24	25	26	1
28	29	30	31

February (2)
				1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	2	21	22	23	24
25	26	27	28

March (2)
				1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	20	21	22	23	24
2	26	27	28	29	30	31

April (1)
1	2	3	1	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	30

May (6)
		1	1	3	4	5
6	7	8	9	10	11	12
13	14	1	16	17	18	19
20	1	22	23	1	25	26
27	28	29	1	31

June (5)
					1	2
3	4	5	6	7	8	9
10	11	12	13	14	15	16
17	18	19	20	1	22	23
1	1	26	1	1	29	30

July (4)
1	2	2	4	5	6	7
8	9	10	11	12	13	1
15	16	17	1	19	20	21
22	23	24	25	26	27	28
29	30	31

August (2)
			1	2	3	4
5	6	7	8	9	10	11
12	13	14	15	16	17	18
19	1	21	22	23	24	25
26	27	28	29	30	31

September (4)
						1
1	3	4	5	6	7	8
9	10	11	12	13	14	15
1	17	18	19	20	21	22
23	24	1	1	27	28	29
30

October (7)
	1	2	3	4	5	6
7	1	1	1	11	12	13
14	15	1	17	18	19	20
21	22	23	24	25	26	27
28	29	2	1

November (11)
				1	2	3
4	5	6	7	1	1	10
11	12	13	14	1	16	2
1	1	20	21	1	23	24
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December (8)
						1
2	3	2	5	1	7	8
9	10	11	12	13	1	1
16	17	18	1	20	21	1
23	24	25	26	27	1	29
30	31

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January (4)
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6	7	8	9	1	11	12
13	1	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	31

February (1)
					1	2
3	4	5	6	7	8	9
10	11	12	1	14	15	16
17	18	19	20	21	22	23
24	25	26	27	28	29

March (1)
						1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	1	28	29
30	31

April (1)
		1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	1	26
27	28	29	30

May (1)
				1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	20	21	22	23	24
1	26	27	28	29	30	31

July (2)
		1	2	1	4	5
6	7	1	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	31

August (2)
					1	2
3	4	1	6	7	8	9
10	11	12	13	14	15	16
17	18	19	20	21	22	1
24	25	26	27	28	29	30
31

October (1)
			1	2	3	4
5	6	7	8	9	10	11
12	13	14	15	1	17	18
19	20	21	22	23	24	25
26	27	28	29	30	31

November (1)
						1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	1	19	20	21	22
23	24	25	26	27	28	29
30

December (3)
	1	2	3	4	5	6
7	8	9	10	11	12	13
3	15	16	17	18	19	20
21	22	23	24	25	26	27
28	29	30	31

2021 (13)

January (8)
				1	1	3
1	5	6	1	8	9	10
11	12	13	14	15	16	17
18	1	1	21	22	23	24
25	26	27	28	29	30	31

May (1)
					1	2
3	4	5	6	7	8	9
10	11	12	13	14	15	16
17	18	19	20	21	22	23
24	25	26	1	28	29	30
31

September (1)
		1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
1	21	22	23	24	25	26
27	28	29	30

November (2)
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28
29	2

December (1)
		1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	1	30	31

2022 (16)

January (1)
					1	2
1	4	5	6	7	8	9
10	11	12	13	14	15	16
17	18	19	20	21	22	23
24	25	26	27	28	29	30
31

March (5)
	1	2	3	4	5	6
7	8	9	10	11	12	13
14	15	16	17	18	19	20
21	22	3	2	25	26	27
28	29	30	31

April (2)
				1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	20	21	2	23	24
25	26	27	28	29	30

May (2)
						1
2	3	4	5	2	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31

June (5)
		1	2	3	4	5
6	7	1	1	10	11	1
1	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	1

July (1)
				1	2	3
4	5	6	7	8	9	10
11	1	13	14	15	16	17
18	19	20	21	22	23	24
25	26	27	28	29	30	31

2023 (1)

February (1)
		1	1	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28