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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. 1
8, 108, 1004, 9504, 90980, 872495, 8363710, 80174942, 768542846, 7367167560, 70620793761, 676962861970, 6489288003156, 62205568978236, 596295430879394, 5716019441254447, 54793105139432783, 525240405862663157 (list; graph; refs; listen; history; text; internal format)
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 A272497 A215129

Adjacent sequences:  A300804 A300805 A300806 * A300808 A300809 A300810

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 13 2018

STATUS

approved

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Last modified August 14 18:13 EDT 2022. Contains 356122 sequences. (Running on oeis4.)