A269884 Number of nX4 0..5 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling five exactly once.

450, 250992, 68182800, 16086672048, 3515869538472, 733651366146384, 148379658813705408, 29341273207567527696, 5704253667242854759944, 1094320479883646430148656, 207706999065060545864115696

Offset

1,1

Comments

Column 4 of A269888.

Links

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

Formula

Empirical: a(n) = 368*a(n-1) -37288*a(n-2) +513442*a(n-3) +19092162*a(n-4) -254746126*a(n-5) -4066323311*a(n-6) +31942950742*a(n-7) +306047150257*a(n-8) -1927227291934*a(n-9) -7298557273657*a(n-10) +52839733207460*a(n-11) -28821368827523*a(n-12) -241886001630920*a(n-13) +270713507877698*a(n-14) +478033822869814*a(n-15) -657675252228668*a(n-16) -495253464276818*a(n-17) +742330071209191*a(n-18) +285148670602762*a(n-19) -417256965071135*a(n-20) -91541370898138*a(n-21) +107835765439291*a(n-22) +15600180936884*a(n-23) -10267371310148*a(n-24) -1125910701408*a(n-25) +20603204284*a(n-26) +2599341920*a(n-27) -58369600*a(n-28) for n>29

Example

Some solutions for n=1
..4..1..0..3. .2..1..4..5. .5..0..1..1. .1..1..0..5. .4..1..5..5

Crossrefs

Cf. A269888.

Sequence in context: A035752 A107548 A263820 * A145492 A269763 A020268

Adjacent sequences: A269881 A269882 A269883 * A269885 A269886 A269887

Keyword

nonn

Author

R. H. Hardin, Mar 06 2016

Status

approved