A278283 Number of 4Xn 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

0, 16, 136, 1461, 15728, 172091, 1870365, 20361727, 221557310, 2411418252, 26242720295, 285604090818, 3108225766879, 33827018841718, 368140557268407, 4006490289802208, 43602794999327810, 474531057207686074

Offset

1,2

Comments

Row 4 of A278280.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +54*a(n-2) +5*a(n-3) -99*a(n-4) -351*a(n-5) -3057*a(n-6) +230*a(n-7) +11670*a(n-8) +4069*a(n-9) +48697*a(n-10) +14335*a(n-11) -202907*a(n-12) +48043*a(n-13) -120257*a(n-14) -311151*a(n-15) +756039*a(n-16) -346208*a(n-17) +204157*a(n-18) +899225*a(n-19) -1285827*a(n-20) +1031967*a(n-21) -598369*a(n-22) -777646*a(n-23) +1067667*a(n-24) -1584475*a(n-25) +1368545*a(n-26) -897496*a(n-27) +746038*a(n-28) -330050*a(n-29) +248678*a(n-30) -139074*a(n-31) +62674*a(n-32) -48113*a(n-33) +13036*a(n-34) -8796*a(n-35) +2451*a(n-36) -360*a(n-37) +348*a(n-38) -18*a(n-39) +43*a(n-40)

Example

Some solutions for n=4
..0..1..0..0. .0..1..0..1. .0..1..1..0. .0..1..1..0. .0..0..1..1
..0..1..0..1. .0..1..0..1. .0..0..0..0. .0..0..1..0. .1..1..1..0
..1..0..0..1. .1..1..1..0. .1..0..1..0. .1..1..0..1. .0..0..1..0
..0..1..1..0. .1..0..0..0. .1..1..1..1. .1..0..0..0. .0..1..0..1

Crossrefs

Cf. A278280.

Sequence in context: A223031 A341227 A022581 * A329370 A351698 A114182

Adjacent sequences: A278280 A278281 A278282 * A278284 A278285 A278286

Keyword

nonn

Author

R. H. Hardin, Nov 16 2016

Status

approved