A297539 - 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

A297539

Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s.

1, 11, 35, 88, 461, 2050, 8057, 35640, 158090, 679629, 2963173, 12981912, 56560118, 246687460, 1077347659, 4701310128, 20514731834, 89541862920, 390793087220, 1705499848917, 7443466123759, 32485974265409, 141779148752373

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

OFFSET

1,2

COMMENTS

Column 3 of A297544.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +38*a(n-3) -40*a(n-4) +7*a(n-5) -296*a(n-6) +98*a(n-7) +36*a(n-8) +388*a(n-9) -96*a(n-10) -104*a(n-11) +400*a(n-12) -192*a(n-13) +128*a(n-14)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A297544.

Sequence in context: A103115 A003777 A222512 * A323691 A368743 A199817

Adjacent sequences: A297536 A297537 A297538 * A297540 A297541 A297542

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 31 2017

STATUS

approved