A303418 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

16, 512, 15647, 480953, 14783632, 454381369, 13965759339, 429248347970, 13193275586412, 405505402581780, 12463518290067297, 383075754661780748, 11774125924935072114, 361886753753857667867, 11122865797202721389960

Offset

1,1

Comments

Column 5 of A303421.

Links

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

Formula

Empirical: a(n) = 25*a(n-1) +145*a(n-2) +920*a(n-3) +1265*a(n-4) +1083*a(n-5) -13664*a(n-6) -14525*a(n-7) -1491*a(n-8) +33615*a(n-9) +17971*a(n-10) -5436*a(n-11) -22517*a(n-12) -1311*a(n-13) +444*a(n-14) +1917*a(n-15) -144*a(n-16)

Example

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

Crossrefs

Cf. A303421.

Sequence in context: A299651 A300205 A213415 * A301404 A303424 A317514

Adjacent sequences: A303415 A303416 A303417 * A303419 A303420 A303421

Keyword

nonn

Author

R. H. Hardin, Apr 23 2018

Status

approved