A256767 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum

43264, 456976, 2768896, 16777216, 80281600, 384160000, 1648360000, 7072810000, 28879603600, 117920812816, 471683251264, 1886733005056, 7495505035264, 29777713954816, 118194817601536, 469143297200656, 1864496164355344

Offset

1,1

Comments

Column 4 of A256771

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +56*a(n-2) -386*a(n-3) -1374*a(n-4) +11494*a(n-5) +18802*a(n-6) -210762*a(n-7) -141548*a(n-8) +2670938*a(n-9) +235458*a(n-10) -24884998*a(n-11) +7670370*a(n-12) +177000930*a(n-13) -106464642*a(n-14) -984901998*a(n-15) +822152493*a(n-16) +4357061592*a(n-17) -4503395874*a(n-18) -15481789056*a(n-19) +18820242924*a(n-20) +44428227456*a(n-21) -62009493480*a(n-22) -103078057920*a(n-23) +163857085584*a(n-24) +192597981696*a(n-25) -350346002016*a(n-26) -286734165504*a(n-27) +608226643008*a(n-28) +332631639552*a(n-29) -856680920448*a(n-30) -286505805312*a(n-31) +974170560000*a(n-32) +160252569600*a(n-33) -885968068608*a(n-34) -23146954752*a(n-35) +634697777152*a(n-36) -55991795712*a(n-37) -349866131456*a(n-38) +64331841536*a(n-39) +143058665472*a(n-40) -37874040832*a(n-41) -40832598016*a(n-42) +13627293696*a(n-43) +7256145920*a(n-44) -2852126720*a(n-45) -603979776*a(n-46) +268435456*a(n-47)

Example

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

Crossrefs

Cf. A256771

Sequence in context: A205053 A146074 A321038 * A258677 A184382 A126771

Adjacent sequences: A256764 A256765 A256766 * A256768 A256769 A256770

Keyword

nonn

Author

R. H. Hardin, Apr 09 2015

Status

approved