A220561 Number of ways to reciprocally link elements of an nX7 array either to themselves or to exactly one horizontal or antidiagonal neighbor.
21, 1544, 101052, 6743873, 449429440, 29955561052, 1996515036228, 133064181801048, 8868465829053416, 591065515195237024, 39393331961841054032, 2625486595153945514656, 174983417444316851450400
Offset: 1
Keywords
Examples
Some solutions for n=3 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10) ..0..0..0..0..0..7..0....0..0..0..0..7..6..4....0..0..0..0..0..6..4 ..0..6..4..0..3..6..4....6..4..7..3..0..0..0....6..4..6..4..6..4..0 ..6..4..6..4..0..0..0....0..3..0..6..4..0..0....6..4..0..0..6..4..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 85*a(n-1) -1330*a(n-2) +7350*a(n-3) -15316*a(n-4) +12720*a(n-5) -3168*a(n-6) for n>9
Comments