A256768 Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum

189696, 2196324, 13278720, 80281600, 372556800, 1728896400, 7138454400, 29474022400, 115996965440, 456513732964, 1770623949536, 6867502430464, 26647772775936, 103400588657664, 403585055517696, 1575241487033344

Offset

1,1

Comments

Column 5 of A256771

Links

R. H. Hardin, Table of n, a(n) for n = 1..113

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..0..1..1..0..1..0....0..1..0..0..1..0..0....0..1..0..1..1..0..1
..0..1..1..1..0..0..0....1..0..1..0..0..1..0....1..1..0..0..0..1..0
..0..0..0..1..0..1..0....0..1..0..1..1..1..0....0..1..0..1..1..0..1

Crossrefs

Cf. A256771

Sequence in context: A257756 A206018 A233873 * A186584 A178289 A221003

Adjacent sequences: A256765 A256766 A256767 * A256769 A256770 A256771

Keyword

nonn

Author

R. H. Hardin, Apr 09 2015

Status

approved