A297454 Number of n X 5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1's.

13, 156, 1143, 10579, 97005, 862112, 7800563, 70510494, 636242985, 5748756544, 51939316305, 469229062104, 4239543728876, 38304792722218, 346088290423542, 3126976424671238, 28252874739113446, 255270676137336183

Offset

1,1

Comments

Column 5 of A297457.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 13*a(n-1) -36*a(n-2) +65*a(n-3) -798*a(n-4) +2160*a(n-5) -1872*a(n-6) +8488*a(n-7) -16755*a(n-8) +6838*a(n-9) -33024*a(n-10) +45383*a(n-11) +3639*a(n-12) +47582*a(n-13) -40877*a(n-14) -37374*a(n-15) -4880*a(n-16) -10986*a(n-17) +50266*a(n-18) -32259*a(n-19) +30045*a(n-20) -25746*a(n-21) +17456*a(n-22) -9542*a(n-23) +2835*a(n-24) -1578*a(n-25) +860*a(n-26) -144*a(n-27).

Example

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

Crossrefs

Cf. A297457.

Sequence in context: A163415 A077416 A192092 * A102146 A162768 A097827

Adjacent sequences: A297451 A297452 A297453 * A297455 A297456 A297457

Keyword

nonn

Author

R. H. Hardin, Dec 30 2017

Status

approved