A269051 Number of nX7 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

768, 9864, 253416, 6053094, 140497512, 3193266318, 71430596250, 1577976495486, 34509932303172, 748499855355192, 16122334931683590, 345226129034011068, 7354858033380328494, 156000244649213353110, 3296017711974478218258

Offset

1,1

Comments

Column 7 of A269052.

Links

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

Formula

Empirical: a(n) = 82*a(n-1) -2779*a(n-2) +50254*a(n-3) -514677*a(n-4) +2743554*a(n-5) -2950648*a(n-6) -48609034*a(n-7) +245316224*a(n-8) -89432156*a(n-9) -2444502643*a(n-10) +5704858072*a(n-11) +7254972423*a(n-12) -41716035658*a(n-13) +18035762825*a(n-14) +132606292618*a(n-15) -178302990168*a(n-16) -171928095488*a(n-17) +491624257303*a(n-18) -70904009836*a(n-19) -621985038704*a(n-20) +477824279660*a(n-21) +281672875548*a(n-22) -522707244404*a(n-23) +119050620101*a(n-24) +190519380818*a(n-25) -140300285301*a(n-26) +10246766686*a(n-27) +24709126330*a(n-28) -9478840252*a(n-29) -368991021*a(n-30) +964165580*a(n-31) -172681320*a(n-32) -20355920*a(n-33) +9906636*a(n-34) -719568*a(n-35) -120720*a(n-36) +22272*a(n-37) -1024*a(n-38) for n>39

Example

Some solutions for n=2
..1..0..1..0..1..0..1. .2..2..1..2..2..2..2. .0..1..2..2..2..2..1
..0..0..0..0..1..2..0. .1..2..1..2..1..2..2. .2..1..2..2..1..2..2

Crossrefs

Cf. A269052.

Sequence in context: A281238 A268808 A183687 * A282287 A268627 A170783

Adjacent sequences: A269048 A269049 A269050 * A269052 A269053 A269054

Keyword

nonn

Author

R. H. Hardin, Feb 18 2016

Status

approved