A302168 Number of 6Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
32, 42, 57, 156, 280, 635, 1247, 2815, 5524, 12457, 25230, 55645, 113410, 249611, 517232, 1123390, 2334467, 5059272, 10608909, 22830143, 47940869, 102999865, 217358333, 465280120, 982600249, 2101097147, 4449151154, 9495603067
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..1..1..0..1. .0..0..1..1..0. .0..1..0..1..0. .0..0..1..1..0 ..1..0..1..0..0. .0..1..0..1..0. .1..1..0..1..0. .0..1..0..1..0 ..1..0..1..0..1. .0..1..0..1..0. .0..1..0..0..1. .0..1..0..1..0 ..1..0..1..0..1. .0..1..0..1..0. .1..0..1..0..1. .0..1..0..1..0 ..1..0..1..0..0. .1..1..0..1..0. .0..0..1..0..1. .0..1..0..1..0 ..1..0..1..0..1. .0..1..0..1..0. .1..0..1..1..0. .0..1..1..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A302163.
Formula
Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-3) +20*a(n-4) -16*a(n-5) -37*a(n-6) +15*a(n-7) -129*a(n-8) +82*a(n-9) +223*a(n-10) -69*a(n-11) +417*a(n-12) -193*a(n-13) -636*a(n-14) +100*a(n-15) -762*a(n-16) +265*a(n-17) +957*a(n-18) +8*a(n-19) +818*a(n-20) -220*a(n-21) -784*a(n-22) -149*a(n-23) -528*a(n-24) +97*a(n-25) +358*a(n-26) +138*a(n-27) +187*a(n-28) -18*a(n-29) -91*a(n-30) -46*a(n-31) -22*a(n-32) +2*a(n-33) +8*a(n-34) +4*a(n-35) for n>45
Comments