A298625 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

0, 6, 26, 125, 1218, 8617, 71334, 577595, 4700651, 38480495, 314451735, 2573334509, 21055448310, 172301801294, 1410039149232, 11539142575254, 94432464743167, 772803828389512, 6324380763604258, 51756745018300290, 423561026286439305

Offset

1,2

Comments

Column 4 of A298629.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +32*a(n-2) -126*a(n-3) -631*a(n-4) +745*a(n-5) +5403*a(n-6) +468*a(n-7) -20718*a(n-8) -11146*a(n-9) +42419*a(n-10) +961*a(n-11) -93956*a(n-12) +20496*a(n-13) +241775*a(n-14) +62178*a(n-15) -134878*a(n-16) +248223*a(n-17) -171869*a(n-18) -835237*a(n-19) -135304*a(n-20) +777655*a(n-21) +1191282*a(n-22) -2698155*a(n-23) +243535*a(n-24) -3312164*a(n-25) +1232548*a(n-26) -4960717*a(n-27) -1263056*a(n-28) +7897251*a(n-29) +6094675*a(n-30) +5519002*a(n-31) -6891003*a(n-32) -3403376*a(n-33) +452761*a(n-34) +1113668*a(n-35) +2301629*a(n-36) -2003677*a(n-37) -244138*a(n-38) +591897*a(n-39) -347003*a(n-40) -46756*a(n-41) -141708*a(n-42) +107312*a(n-43) +78600*a(n-44) -52152*a(n-45) +14412*a(n-46) -4432*a(n-47) +408*a(n-48)

Example

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

Crossrefs

Cf. A298629.

Sequence in context: A046647 A233075 A307331 * A046233 A140231 A339685

Adjacent sequences: A298622 A298623 A298624 * A298626 A298627 A298628

Keyword

nonn

Author

R. H. Hardin, Jan 23 2018

Status

approved