A297227 Number of 5Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s.

1, 41, 196, 751, 5570, 33158, 178469, 1051514, 6152761, 35360059, 204610794, 1185387515, 6858428469, 39687403360, 229672443463, 1329125857816, 7691795163442, 44512304299166, 257592990212772, 1490702456602803

Offset

1,2

Comments

Row 5 of A297224.

Links

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

Formula

Empirical: a(n) = a(n-1) +8*a(n-2) +78*a(n-3) +174*a(n-4) +351*a(n-5) -416*a(n-6) -1842*a(n-7) -5441*a(n-8) +761*a(n-9) +9986*a(n-10) +44032*a(n-11) +6608*a(n-12) -112959*a(n-13) -240830*a(n-14) +407117*a(n-15) +340423*a(n-16) -339453*a(n-17) -827799*a(n-18) +470840*a(n-19) +1069281*a(n-20) -477291*a(n-21) -686619*a(n-22) -696576*a(n-23) +1489660*a(n-24) +278216*a(n-25) -482103*a(n-26) -1864399*a(n-27) +2863215*a(n-28) -270635*a(n-29) -3293055*a(n-30) +3268056*a(n-31) -1576074*a(n-32) +3879227*a(n-33) -8061662*a(n-34) +9295255*a(n-35) -8324335*a(n-36) +8467289*a(n-37) -8065138*a(n-38) +4976344*a(n-39) -3584983*a(n-40) +3053749*a(n-41) -1432366*a(n-42) +1039335*a(n-43) -821799*a(n-44) +317432*a(n-45) -251304*a(n-46) +174088*a(n-47) -64693*a(n-48) +49419*a(n-49) -24207*a(n-50) +4719*a(n-51) -6975*a(n-52) +1108*a(n-53) -478*a(n-54) +629*a(n-55) +13*a(n-56) +70*a(n-57) -9*a(n-58) +a(n-59) -a(n-60)

Example

Some solutions for n=7
..0..0..1..1..0..0..1. .0..1..1..0..0..1..0. .0..1..1..0..0..0..0
..0..0..0..0..0..1..0. .0..0..0..0..1..0..0. .0..0..0..1..1..0..0
..1..1..0..0..0..0..0. .0..0..0..0..0..0..1. .0..1..0..0..0..1..1
..0..1..1..0..0..1..1. .0..0..0..0..0..1..0. .1..0..1..1..0..0..0
..0..0..1..1..0..0..0. .1..1..0..0..0..0..0. .0..0..0..0..0..0..0

Crossrefs

Cf. A297224.

Sequence in context: A254228 A141939 A264653 * A089634 A142526 A088319

Adjacent sequences: A297224 A297225 A297226 * A297228 A297229 A297230

Keyword

nonn

Author

R. H. Hardin, Dec 27 2017

Status

approved