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 1-5 of 5 results.

A298926 Number of n X 4 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 2, 4, 11, 23, 72, 201, 597, 1717, 5183, 15479, 46260, 138928, 417427, 1255369, 3777004, 11372190, 34247960, 103164581, 310821235, 936579808, 2822417917, 8506019597, 25636254701, 77267796877, 232891865309, 701970354408
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 4 of A298930.

Examples

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

Crossrefs

Cf. A298930.

Formula

Empirical: a(n) = 6*a(n-1) -10*a(n-2) +7*a(n-3) -23*a(n-4) +31*a(n-5) -15*a(n-6) +104*a(n-7) -147*a(n-8) +182*a(n-9) -366*a(n-10) +376*a(n-11) -685*a(n-12) +689*a(n-13) -613*a(n-14) +1143*a(n-15) -710*a(n-16) -129*a(n-17) -82*a(n-18) -584*a(n-19) +5620*a(n-20) -1356*a(n-21) +6298*a(n-22) -15575*a(n-23) +6568*a(n-24) -15985*a(n-25) +6661*a(n-26) -23488*a(n-27) +19556*a(n-28) +16109*a(n-29) +18333*a(n-30) +8059*a(n-31) -12197*a(n-32) +16533*a(n-33) -27875*a(n-34) -8576*a(n-35) -28209*a(n-36) +16299*a(n-37) +26487*a(n-38) +4040*a(n-39) -22226*a(n-40) +1134*a(n-41) -9128*a(n-42) -7294*a(n-43) +16692*a(n-44) +6504*a(n-45) +1137*a(n-46) -5253*a(n-47) +2127*a(n-48) -324*a(n-49) +1885*a(n-50) -1689*a(n-51) -59*a(n-52) -235*a(n-53) +346*a(n-54) -86*a(n-55) +12*a(n-56) -46*a(n-57) +24*a(n-58) +8*a(n-59) -4*a(n-60) for n>61.

A298927 Number of nX5 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 11, 3, 23, 94, 255, 666, 2720, 8571, 30093, 106192, 369318, 1291934, 4552705, 15952349, 56078262, 197277132, 693611434, 2438933680, 8579643205, 30173988847, 106130105150, 373307026724, 1313049614295, 4618497134678, 16245278266932
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 5 of A298930.

Examples

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

Crossrefs

Cf. A298930.

A298928 Number of nX6 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 13, 7, 72, 255, 955, 3569, 15031, 61046, 253624, 1067751, 4492809, 18851449, 79305038, 333393642, 1401954916, 5897152044, 24806594547, 104353275618, 439007735235, 1846879331358, 7769846838226, 32688195410797, 137521855214717
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 6 of A298930.

Examples

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

Crossrefs

Cf. A298930.

A298929 Number of nX7 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 34, 14, 201, 666, 3569, 15163, 77576, 375845, 1886321, 9434661, 47480566, 237250519, 1191569971, 5975706525, 29984756274, 150481729037, 755439602693, 3791563019201, 19033524132770, 95544814021035, 479625376201987
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 7 of A298930.

Examples

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

Crossrefs

Cf. A298930.

A298925 Number of n X n 0..1 arrays with every element equal to 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1, 1, 11, 94, 955, 15163, 491338, 19329083, 1185260593
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Diagonal of A298930.

Examples

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

Crossrefs

Cf. A298930.
Showing 1-5 of 5 results.