A283722 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A283722

Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

0, 60, 1088, 15228, 196548, 2391696, 28103560, 322050940, 3622197748, 40156778920, 440103529194, 4778398401120, 51478875779886, 550962104490308, 5863716020439970, 62102879848049336, 654945091390069876

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Column 4 of A283726.

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) -a(n-2) -226*a(n-3) -1460*a(n-4) -2232*a(n-5) +1525*a(n-6) +22350*a(n-7) +39289*a(n-8) +13206*a(n-9) -146613*a(n-10) -259034*a(n-11) -136682*a(n-12) +488660*a(n-13) +810954*a(n-14) +302750*a(n-15) -834146*a(n-16) -986264*a(n-17) -173928*a(n-18) +495516*a(n-19) +329204*a(n-20) +4440*a(n-21) -35121*a(n-22) -16332*a(n-23) -13884*a(n-24) -5504*a(n-25) -1072*a(n-26) -320*a(n-27) -64*a(n-28)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A283726.

Sequence in context: A305545 A056352 A056346 * A105252 A269138 A146347

Adjacent sequences: A283719 A283720 A283721 * A283723 A283724 A283725

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 15 2017

STATUS

approved