cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-10 of 12 results. Next

A297649 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

4, 43, 231, 1421, 9033, 55706, 346032, 2151932, 13364992, 83036263, 515911384, 3205231551, 19913717003, 123721335945, 768662962676, 4775598530205, 29670139081754, 184336490377417, 1145257318539730, 7115326466070793
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Column 3 of A297654.

Examples

			Some solutions for n=6
..1..1..1. .0..0..0. .0..1..1. .0..0..1. .1..1..0. .0..0..0. .0..1..0
..1..1..0. .0..1..1. .1..0..1. .1..1..0. .0..0..1. .0..1..0. .0..0..1
..0..0..0. .0..0..0. .1..1..0. .0..0..0. .1..1..1. .0..1..1. .1..0..1
..0..0..0. .0..0..0. .0..1..0. .1..1..1. .0..0..0. .0..1..1. .0..1..0
..1..1..1. .1..1..0. .0..0..1. .0..1..1. .1..1..0. .0..1..0. .0..1..1
..0..1..0. .1..0..1. .0..1..1. .0..1..0. .1..0..0. .1..0..1. .0..0..0

Links

Crossrefs

Cf. A297654.

Formula

Empirical: a(n) = 3*a(n-1) +9*a(n-2) +60*a(n-3) +51*a(n-4) +54*a(n-5) -303*a(n-6) -336*a(n-7) -234*a(n-8) +316*a(n-9) +264*a(n-10) -144*a(n-11)

A297650 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

7, 140, 1073, 11024, 113252, 1105531, 11089103, 110654243, 1101808354, 10993719747, 109616866972, 1092971987768, 10899244123139, 108681241877689, 1083722571101531, 10806476047854350, 107757578616646017
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Column 4 of A297654.

Examples

			Some solutions for n=5
..0..0..0..0. .0..1..1..0. .0..0..0..0. .0..1..0..0. .1..1..0..0
..0..0..0..0. .0..0..1..0. .1..1..1..1. .1..1..0..0. .0..0..0..1
..0..1..1..0. .1..0..1..0. .0..0..0..0. .0..0..1..0. .0..0..1..1
..1..0..1..0. .0..1..0..1. .1..1..0..0. .0..1..0..0. .1..1..1..0
..0..1..1..0. .0..1..1..0. .0..0..1..1. .0..1..1..1. .0..0..0..1

Links

Crossrefs

Cf. A297654.

Formula

Empirical: a(n) = 5*a(n-1) +33*a(n-2) +181*a(n-3) -86*a(n-4) -424*a(n-5) -2573*a(n-6) -2524*a(n-7) +335*a(n-8) +9815*a(n-9) +13091*a(n-10) -1385*a(n-11) -21743*a(n-12) -13896*a(n-13) +13557*a(n-14) +25034*a(n-15) +5697*a(n-16) -9754*a(n-17) -8120*a(n-18) +452*a(n-19) +2280*a(n-20) +1082*a(n-21) +210*a(n-22) -30*a(n-23) -12*a(n-24)

A297651 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

12, 494, 6838, 131044, 2525244, 46187510, 864944851, 16149058068, 300870617401, 5613564284292, 104698838837111, 1952650753998364, 36420081863348278, 679272850629109385, 12669181880403565080, 236294959020596014510
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Column 5 of A297654.

Examples

			Some solutions for n=4
..0..1..0..0..0. .0..0..1..1..0. .0..1..1..0..0. .1..0..1..0..0
..1..0..1..0..0. .1..1..0..1..0. .0..0..0..1..0. .1..1..0..1..0
..1..0..0..1..1. .1..1..0..0..0. .0..1..1..0..1. .0..1..0..1..0
..0..1..0..1..1. .0..0..1..0..0. .0..0..0..1..1. .0..0..1..1..0

Links

Crossrefs

Cf. A297654.

Formula

Empirical recurrence of order 60 (see link above)

A297652 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

21, 1845, 45036, 1580681, 56630842, 1906300826, 65775301075, 2265577299182, 77814433907002, 2676719924368494, 92051980153163166, 3165307212249071372, 108852027486036181894, 3743236634629271063055, 128723199495612208662339
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Column 6 of A297654.

Examples

			Some solutions for n=3
..1..1..0..0..0..0. .1..1..0..0..1..0. .1..1..1..0..1..0. .0..1..0..1..0..0
..1..0..1..0..1..1. .1..1..0..1..1..0. .0..1..0..0..1..1. .1..0..1..0..0..0
..0..1..1..1..0..1. .1..0..0..0..1..1. .0..0..1..0..0..1. .0..0..1..1..1..0

Links

Crossrefs

Cf. A297654.

A297653 Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

37, 6757, 268655, 16899640, 1075678445, 63350980838, 3863740405975, 234680441414485, 14203234114710492, 861618662716079824, 52240779255897230595, 3167041273737179764100, 192025471018913375268462
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Column 7 of A297654.

Examples

			Some solutions for n=2
..1..1..0..1..0..1..1. .1..1..0..1..1..0..1. .0..1..0..0..0..1..1
..0..0..1..0..0..1..0. .0..0..1..1..0..1..1. .0..0..1..1..1..1..1

Links

Crossrefs

Cf. A297654.

A297655 Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

1, 10, 43, 140, 494, 1845, 6757, 24479, 89068, 324765, 1182996, 4307440, 15687513, 57137761, 208098949, 757896766, 2760293603, 10053139616, 36613986582, 133349718469, 485665707449, 1768816633099, 6442109942616, 23462454583677
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Row 2 of A297654.

Examples

			Some solutions for n=7
..1..1..1..0..1..1..0. .0..1..1..0..0..1..1. .0..1..1..0..1..1..1
..0..0..0..1..0..0..1. .1..0..0..1..0..0..1. .1..0..0..1..1..1..0

Links

Crossrefs

Cf. A297654.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) +6*a(n-4) +12*a(n-5) +12*a(n-6)

A297656 Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

1, 36, 231, 1073, 6838, 45036, 268655, 1617465, 9996907, 61298132, 373667037, 2285559013, 13993745417, 85580111107, 523343997645, 3201466965125, 19583433034979, 119781882351653, 732667670413245, 4481577327382246
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Row 3 of A297654.

Examples

			Some solutions for n=6
..1..1..1..1..0..0. .0..0..0..1..0..0. .0..0..0..0..1..0. .0..0..0..1..0..0
..0..0..0..0..0..1. .0..0..0..1..1..0. .0..1..1..0..0..1. .1..0..1..1..1..0
..1..1..0..0..1..1. .0..0..1..1..0..0. .1..1..1..0..1..0. .1..1..0..0..1..0

Links

Crossrefs

Cf. A297654.

Formula

Empirical: a(n) = 4*a(n-1) +67*a(n-3) +65*a(n-4) +58*a(n-5) +60*a(n-6) -296*a(n-7) -269*a(n-8) -48*a(n-9) +43*a(n-10) +400*a(n-11) +473*a(n-12) +81*a(n-13) -9*a(n-14) +23*a(n-15) +a(n-16) +4*a(n-17)

A297657 Number of 4 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1's.

Original entry on oeis.org

1, 126, 1421, 11024, 131044, 1580681, 16899640, 184447765, 2071914854, 22993996808, 253857329257, 2815072088290, 31231596904276, 346040351074271, 3834662231710946, 42507894984837013, 471153783855939918
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Row 4 of A297654.

Examples

			Some solutions for n=5
..0..0..1..1..1. .0..0..0..0..0. .1..1..1..1..0. .0..0..1..1..0
..0..1..0..0..1. .1..0..0..0..0. .1..0..0..0..0. .0..1..0..0..1
..1..0..0..1..1. .0..1..1..0..1. .0..1..0..0..0. .0..0..1..0..1
..0..1..0..1..1. .1..0..0..1..1. .1..0..1..1..1. .0..0..1..1..0

Links

Crossrefs

Cf. A297654.

Formula

Empirical: a(n) = 6*a(n-1) +15*a(n-2) +372*a(n-3) +1025*a(n-4) -46*a(n-5) -4101*a(n-6) -34244*a(n-7) -94085*a(n-8) -21654*a(n-9) +165356*a(n-10) +639904*a(n-11) +1471523*a(n-12) -895908*a(n-13) -4864047*a(n-14) -1270214*a(n-15) +3721117*a(n-16) +3725224*a(n-17) +1517589*a(n-18) -2895666*a(n-19) +611461*a(n-20) -1569477*a(n-21) -5436112*a(n-22) +6015995*a(n-23) -1131454*a(n-24) -3262066*a(n-25) +5806854*a(n-26) -3112355*a(n-27) -927930*a(n-28) +2386399*a(n-29) -1228290*a(n-30) -18124*a(n-31) +313018*a(n-32) -154300*a(n-33) +36726*a(n-34) +142*a(n-35) -2108*a(n-36) +652*a(n-37) +4*a(n-38).

A297658 Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

1, 454, 9033, 113252, 2525244, 56630842, 1075678445, 21111073411, 431729675719, 8661860619988, 172481732429072, 3459368740976069, 69421866008508425, 1390069610625497582, 27843303573923481669, 558020746500279361494
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Row 5 of A297654.

Examples

			Some solutions for n=4
..1..1..0..0. .1..1..1..0. .1..1..1..0. .0..0..1..1. .1..1..0..0
..0..0..1..1. .0..0..1..0. .1..1..0..1. .0..1..1..1. .1..0..1..0
..0..0..0..0. .0..1..0..0. .0..0..0..0. .1..0..0..0. .1..0..0..0
..0..0..1..0. .0..1..1..1. .0..1..1..0. .1..1..0..0. .0..1..1..1
..0..1..0..0. .1..0..0..0. .1..1..1..0. .0..0..1..0. .0..1..1..0

Links

Crossrefs

Cf. A297654.

A297659 Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

Original entry on oeis.org

1, 1632, 55706, 1105531, 46187510, 1906300826, 63350980838, 2211348272559, 81510059624659, 2921136549256989, 103683457156054557, 3719547264451758684, 133489746983350501721, 4775013243230452400632, 170915659747129027279021
Offset: 1

Views

Author

R. H. Hardin, Jan 02 2018

Keywords

Comments

Row 6 of A297654.

Examples

			Some solutions for n=3
..0..1..1. .0..1..1. .0..1..1. .1..0..0. .0..1..1. .1..1..0. .0..0..0
..0..0..0. .1..1..0. .0..0..1. .0..1..0. .0..0..1. .0..0..0. .1..1..1
..0..0..1. .0..1..0. .1..1..1. .0..1..0. .0..0..1. .1..1..0. .1..1..0
..0..1..0. .1..1..1. .0..0..0. .1..0..0. .0..1..0. .0..1..0. .0..0..0
..1..0..1. .0..1..0. .0..0..1. .0..1..1. .1..1..0. .0..1..0. .1..1..0
..0..1..1. .1..1..0. .0..1..1. .1..1..0. .0..1..0. .0..1..1. .1..1..0

Links

Crossrefs

Cf. A297654.
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