A297592 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.
6, 33, 145, 752, 3747, 18577, 93150, 464697, 2320289, 11591504, 57880641, 289072233, 1443683308, 7209863009, 36007227773, 179824937844, 898069917949, 4485086714025, 22399136063860, 111864365243177, 558666033595587
Offset: 1
Keywords
Examples
Some solutions for n=7 ..0..0..0..0..1. .0..0..0..1..0. .0..0..0..0..0. .0..1..0..0..0 ..0..1..0..1..0. .0..0..1..0..0. .0..0..1..1..0. .1..0..0..1..0 ..1..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0. .0..0..1..0..0 ..0..0..0..1..1. .0..0..0..1..0. .1..1..0..1..1. .1..0..0..0..0 ..0..1..0..0..0. .0..1..0..1..0. .0..0..0..0..0. .0..1..0..1..1 ..1..0..0..1..0. .0..1..1..0..0. .0..0..0..0..1. .0..0..0..0..0 ..0..0..0..0..1. .0..1..0..1..0. .1..1..0..1..0. .0..0..0..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A297595.
Formula
Empirical: a(n) = a(n-1) +8*a(n-2) +45*a(n-3) +77*a(n-4) +50*a(n-5) -236*a(n-6) -474*a(n-7) -291*a(n-8) -115*a(n-9) -109*a(n-10) +780*a(n-11) +984*a(n-12) +1210*a(n-13) -80*a(n-14) +684*a(n-15) +136*a(n-16) -594*a(n-17) -247*a(n-18) -179*a(n-19) -97*a(n-20) -32*a(n-21) +16*a(n-22)
Comments