A300926 - OEIS

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A300926

Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

2, 37, 508, 6638, 87561, 1155263, 15238332, 200997959, 2651226860, 34970515586, 461272055711, 6084322990226, 80254127231786, 1058577091893891, 13962963627904759, 184175866611838179, 2429337406168105388

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OFFSET

1,1

COMMENTS

Column 4 of A300930.

LINKS

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

FORMULA

Empirical: a(n) = 13*a(n-1) +10*a(n-2) -87*a(n-3) -170*a(n-4) +127*a(n-5) +799*a(n-6) +686*a(n-7) -1452*a(n-8) -2477*a(n-9) +72*a(n-10) +3081*a(n-11) +2340*a(n-12) -1976*a(n-13) -3131*a(n-14) +247*a(n-15) +1710*a(n-16) +847*a(n-17) +207*a(n-18) -84*a(n-19) -182*a(n-20) -46*a(n-21) +45*a(n-22) +32*a(n-23) +2*a(n-24) +a(n-25) -a(n-26) for n>27

EXAMPLE

Some solutions for n=5

..0..0..1..1. .0..1..0..0. .0..0..1..1. .0..0..0..1. .0..0..1..0

..0..0..1..1. .0..1..1..0. .1..1..0..0. .1..1..0..1. .1..1..1..0

..0..0..1..1. .0..0..0..1. .1..1..0..1. .1..0..0..0. .0..1..0..1

..0..0..1..0. .0..1..0..1. .0..0..0..1. .0..1..1..0. .0..1..1..1

..1..1..1..0. .0..1..1..1. .1..1..1..1. .1..1..0..0. .0..0..1..1

CROSSREFS

Cf. A300930.

Sequence in context: A100849 A300969 A120047 * A337306 A216539 A139122

Adjacent sequences: A300923 A300924 A300925 * A300927 A300928 A300929

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 15 2018

STATUS

approved