A296722 Number of nX5 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1s.

13, 153, 963, 8315, 72533, 579857, 4846823, 40521141, 334815607, 2784253057, 23148389912, 192156618960, 1596570159080, 13264571661150, 110181652107053, 915339227624427, 7604121086830130, 63169048985350874, 524768431870231224

Offset

1,1

Comments

Column 5 of A296725.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +11*a(n-2) +109*a(n-3) -1428*a(n-4) -1691*a(n-5) -1359*a(n-6) +88181*a(n-7) +98419*a(n-8) -134905*a(n-9) -2499178*a(n-10) -2920947*a(n-11) +4441444*a(n-12) +38051580*a(n-13) +46960052*a(n-14) -52077088*a(n-15) -328792766*a(n-16) -420486787*a(n-17) +259643002*a(n-18) +1626817959*a(n-19) +2102896552*a(n-20) -436607963*a(n-21) -4582767399*a(n-22) -5856079093*a(n-23) -351847773*a(n-24) +7523198204*a(n-25) +9467640280*a(n-26) +2131827414*a(n-27) -7149647662*a(n-28) -8869010522*a(n-29) -2737820830*a(n-30) +3740869125*a(n-31) +4440819305*a(n-32) +1228319510*a(n-33) -1143773011*a(n-34) -926477650*a(n-35) +78281210*a(n-36) +403665586*a(n-37) +38260822*a(n-38) -104458936*a(n-39) -78062944*a(n-40) -16016824*a(n-41) -20986784*a(n-42) -39188256*a(n-43) -7979904*a(n-44) +1198080*a(n-45)

Example

Some solutions for n=5
..1..0..0..0..0. .0..0..1..0..1. .1..0..0..0..0. .1..1..0..0..1
..0..0..0..1..1. .1..1..1..0..0. .0..0..0..0..1. .0..1..0..0..0
..0..1..0..0..1. .1..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0
..1..1..0..1..1. .1..1..0..0..0. .1..1..1..0..0. .1..1..1..0..0
..0..0..0..0..0. .0..0..0..0..1. .1..0..0..0..1. .0..1..1..1..0

Crossrefs

Cf. A296725.

Sequence in context: A173448 A097168 A305262 * A252972 A108366 A204766

Adjacent sequences: A296719 A296720 A296721 * A296723 A296724 A296725

Keyword

nonn

Author

R. H. Hardin, Dec 19 2017

Status

approved