A317069 Number of nX5 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

3, 383, 8529, 241716, 6661787, 183761107, 5070445036, 139901594785, 3860087234371, 106505610289521, 2938649201928749, 81081729176259301, 2237166263329333248, 61726765526429595592, 1703133845995471442911

Offset

1,1

Comments

Column 5 of A317072.

Links

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

Formula

Empirical: a(n) = 20*a(n-1) +182*a(n-2) +791*a(n-3) -333*a(n-4) -14372*a(n-5) -49319*a(n-6) -24638*a(n-7) +317675*a(n-8) +635800*a(n-9) -1152546*a(n-10) -3421714*a(n-11) +3390250*a(n-12) +7494958*a(n-13) +2936243*a(n-14) +2157463*a(n-15) -18827919*a(n-16) -20079949*a(n-17) +8556321*a(n-18) -53400226*a(n-19) +171453767*a(n-20) -244135614*a(n-21) +509197192*a(n-22) -373008978*a(n-23) -375714920*a(n-24) +785661939*a(n-25) -726123779*a(n-26) +235989917*a(n-27) +325898993*a(n-28) -283937704*a(n-29) -156468371*a(n-30) +436055917*a(n-31) -184015641*a(n-32) -71168273*a(n-33) -58904531*a(n-34) +173076041*a(n-35) -221459916*a(n-36) +148753391*a(n-37) +32189001*a(n-38) -112256290*a(n-39) +63130244*a(n-40) -2378490*a(n-41) -8767330*a(n-42) +3847636*a(n-43) +1336346*a(n-44) -4202520*a(n-45) +1964885*a(n-46) -274000*a(n-47) -147726*a(n-48) +61332*a(n-49) +20430*a(n-50) -10332*a(n-51) -432*a(n-52)

Example

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

Crossrefs

Cf. A317072.

Sequence in context: A305958 A317219 A305689 * A316950 A317730 A193131

Adjacent sequences: A317066 A317067 A317068 * A317070 A317071 A317072

Keyword

nonn

Author

R. H. Hardin, Jul 20 2018

Status

approved