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 1-9 of 9 results.

A302724 Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 7, 22, 83, 301, 1079, 4064, 15183, 55012, 207349, 770421, 2830250, 10617371, 39400644, 145704104, 544623685, 2020998479, 7497256552, 27957348859, 103787074017, 385563034716, 1435728019366, 5332352333196, 19821039046245
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Column 3 of A302728.

Examples

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

Crossrefs

Cf. A302728.

Formula

Empirical: a(n) = 2*a(n-1) +5*a(n-2) +27*a(n-3) -64*a(n-4) -67*a(n-5) +25*a(n-6) -22*a(n-7) -66*a(n-8) -240*a(n-9) +232*a(n-10) +168*a(n-11) -16*a(n-12) +64*a(n-13) +64*a(n-14) +256*a(n-15) -256*a(n-16)

A302725 Number of n X 5 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 27, 74, 287, 1307, 4491, 17828, 80293, 304958, 1254491, 5534905, 22489246, 94732609, 413955598, 1740468900, 7436093945, 32346857005, 138259463124, 595133929409, 2583681234015, 11128738383880, 48080514602454
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Column 5 of A302728.

Examples

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

Crossrefs

Cf. A302728.

A302726 Number of nX6 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 45, 162, 689, 4505, 20842, 104969, 623549, 3195095, 16779202, 94570299, 502818683, 2684335804, 14798497776, 79585694357, 428251526577, 2337808909399, 12622803157240, 68178468555088, 370527376656027, 2003864441765404
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Column 6 of A302728.

Examples

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

Crossrefs

Cf. A302728.

A302727 Number of nX7 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 98, 363, 1723, 16265, 89121, 532511, 4281120, 26823700, 176193198, 1287161045, 8543705276, 58177418523, 410055506135, 2784959794292, 19190983835759, 133544369858762, 915736969076289, 6331727880485698, 43862835910755482
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Column 7 of A302728.

Examples

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

Crossrefs

Cf. A302728.

A302729 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 23, 83, 89, 287, 689, 1723, 4491, 10433, 28009, 73289, 182043, 464679, 1196593, 3100505, 7907085, 20156111, 51965647, 133805425, 342839837, 878417801, 2258261501, 5808644113, 14907781647, 38258830449, 98318643559, 252713316537
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Row 4 of A302728.

Examples

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

Crossrefs

Cf. A302728.

Formula

Empirical: a(n) = 9*a(n-1) -28*a(n-2) +30*a(n-3) +10*a(n-4) -58*a(n-5) +90*a(n-6) +194*a(n-7) -716*a(n-8) -504*a(n-9) +2880*a(n-10) -2439*a(n-11) -603*a(n-12) +5413*a(n-13) +2691*a(n-14) -25582*a(n-15) +7826*a(n-16) +32125*a(n-17) -38449*a(n-18) +15678*a(n-19) +76779*a(n-20) -41293*a(n-21) -157975*a(n-22) +126885*a(n-23) +54074*a(n-24) -261248*a(n-25) +255719*a(n-26) +176028*a(n-27) -491272*a(n-28) +149210*a(n-29) +871343*a(n-30) -316050*a(n-31) -951297*a(n-32) +205706*a(n-33) -538272*a(n-34) -773585*a(n-35) +2370802*a(n-36) +2752713*a(n-37) -2295559*a(n-38) -4674958*a(n-39) +600525*a(n-40) +5090198*a(n-41) +2088636*a(n-42) -3591982*a(n-43) -4408726*a(n-44) +210159*a(n-45) +3826253*a(n-46) +2513568*a(n-47) -1239355*a(n-48) -2734497*a(n-49) -905283*a(n-50) +1359121*a(n-51) +1605315*a(n-52) +212821*a(n-53) -799018*a(n-54) -633291*a(n-55) -31315*a(n-56) +217481*a(n-57) +109705*a(n-58) -14479*a(n-59) -22849*a(n-60) +2283*a(n-61) +10439*a(n-62) +1190*a(n-63) -3341*a(n-64) -1094*a(n-65) +1132*a(n-66) +248*a(n-67) -160*a(n-68) for n>69

A302730 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 61, 301, 353, 1307, 4505, 16265, 46773, 136935, 481479, 1631059, 5055540, 16067446, 52668892, 175365361, 562163896, 1807393316, 5893267465, 19311336692, 62623833763, 202770902304, 659588139794, 2152022230238, 6997053941406
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Row 5 of A302728.

Examples

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

Crossrefs

Cf. A302728.

A302731 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 162, 1079, 941, 4491, 20842, 89121, 286746, 1022779, 4520360, 18491493, 67714259, 259145846, 1045498404, 4177884352, 16077695845, 62395241080, 246809269806, 974367008077, 3802389262429, 14855944546521, 58398777429077
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Row 6 of A302728.

Examples

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

Crossrefs

Cf. A302728.

A302732 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 421, 4064, 3316, 17828, 104969, 532511, 1932168, 7608792, 40495097, 193959222, 806044112, 3571553560, 16732139668, 77717205902, 345532208087, 1548242747664, 7108827463856, 32520170426142, 146833013273650, 664181788383321
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Row 7 of A302728.

Examples

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

Crossrefs

Cf. A302728.

A302723 Number of n X n 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 3, 22, 89, 1307, 20842, 532511, 17200486, 683140749, 61552556640
Offset: 1

Views

Author

R. H. Hardin, Apr 12 2018

Keywords

Comments

Diagonal of A302728.

Examples

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

Crossrefs

Cf. A302728.
Showing 1-9 of 9 results.