A296125 Number of nX5 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s.

1, 33, 107, 287, 2098, 9344, 35733, 182881, 859151, 3752449, 17718898, 83133830, 379861714, 1768819146, 8263436507, 38298070989, 178230046892, 831322027550, 3869744621937, 18028069104813, 84070919008122, 391898815331194

Offset

1,2

Comments

Column 5 of A296128.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -10*a(n-2) +50*a(n-3) -343*a(n-4) +344*a(n-5) -618*a(n-6) +6047*a(n-7) -5744*a(n-8) +4077*a(n-9) -57564*a(n-10) +55295*a(n-11) -21106*a(n-12) +335248*a(n-13) -318626*a(n-14) +84293*a(n-15) -1236170*a(n-16) +1106930*a(n-17) -187162*a(n-18) +2867721*a(n-19) -2269772*a(n-20) +74097*a(n-21) -4021798*a(n-22) +2511232*a(n-23) +527543*a(n-24) +3090935*a(n-25) -1014833*a(n-26) -1021724*a(n-27) -995912*a(n-28) -447310*a(n-29) +634272*a(n-30) +10000*a(n-31) +371548*a(n-32) -67104*a(n-33) +3168*a(n-34) +12608*a(n-35) -3840*a(n-36) -8560*a(n-37) +128*a(n-38) +256*a(n-39)

Example

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

Crossrefs

Cf. A296128.

Sequence in context: A045613 A033574 A183446 * A297429 A039520 A198291

Adjacent sequences: A296122 A296123 A296124 * A296126 A296127 A296128

Keyword

nonn

Author

R. H. Hardin, Dec 05 2017

Status

approved