A300807 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 108, 1004, 9504, 90980, 872495, 8363710, 80174942, 768542846, 7367167560, 70620793761, 676962861970, 6489288003156, 62205568978236, 596295430879394, 5716019441254447, 54793105139432783, 525240405862663157

Offset

1,1

Comments

Column 4 of A300811.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +14*a(n-2) -85*a(n-3) +32*a(n-4) +173*a(n-5) -538*a(n-6) +239*a(n-7) -314*a(n-8) -582*a(n-9) +2609*a(n-10) -6135*a(n-11) +4425*a(n-12) +6902*a(n-13) -11546*a(n-14) +11819*a(n-15) -2599*a(n-16) +5573*a(n-17) +2416*a(n-18) -3913*a(n-19) -7952*a(n-20) -4866*a(n-21) -3412*a(n-22) -9217*a(n-23) -2122*a(n-24) +464*a(n-25) +4111*a(n-26) +2278*a(n-27) +158*a(n-28) +2257*a(n-29) +148*a(n-30) -1659*a(n-31) +32*a(n-32) +273*a(n-33) -349*a(n-34) +47*a(n-35) +134*a(n-36) -32*a(n-37) -20*a(n-38) +9*a(n-39) -a(n-40)

Example

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

Crossrefs

Cf. A300811.

Sequence in context: A048543 A300468 A326101 * A301446 A363476 A272497

Adjacent sequences: A300804 A300805 A300806 * A300808 A300809 A300810

Keyword

nonn

Author

R. H. Hardin, Mar 13 2018

Status

approved