A269139 Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

216, 8532, 275796, 8317996, 240647068, 6766301156, 186315931804, 5049212790572, 135126561336764, 3579710280903028, 94040960852579428, 2453204481574556084, 63613980689923027716, 1641094486943583990844, 42147014968744168530996

Offset

1,1

Comments

Column 4 of A269143.

Links

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

Formula

Empirical: a(n) = 58*a(n-1) -1093*a(n-2) +7680*a(n-3) -27078*a(n-4) +58958*a(n-5) -88914*a(n-6) +82212*a(n-7) -35159*a(n-8) -20796*a(n-9) +39556*a(n-10) -11364*a(n-11) -13593*a(n-12) +9618*a(n-13) +429*a(n-14) -2060*a(n-15) +434*a(n-16) +166*a(n-17) -92*a(n-18) +16*a(n-19) -a(n-20) for n>22

Example

Some solutions for n=2
..2..3..2..2. .2..3..1..3. .0..0..1..1. .1..1..3..1. .1..1..0..1
..2..2..2..3. .3..1..1..2. .0..1..1..0. .0..1..3..3. .0..1..1..3

Crossrefs

Cf. A269143.

Sequence in context: A223272 A265845 A131643 * A231319 A269197 A259831

Adjacent sequences: A269136 A269137 A269138 * A269140 A269141 A269142

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved