A262475 Number of (5+1)X(n+1) 0..1 arrays with each row divisible by 3 and each column divisible by 5, read as a binary number with top and left being the most significant bits.

13, 37, 469, 2413, 30229, 234421, 2924245, 29005981, 362253013, 4077093157, 51105791029, 611509849933, 7700348530069, 94992216728341, 1201803227962645, 15070500857186941, 191509623622912213, 2424933117697177477

Offset

1,1

Comments

Row 5 of A262472.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +598*a(n-2) -7774*a(n-3) -159204*a(n-4) +2069652*a(n-5) +25102262*a(n-6) -326329406*a(n-7) -2625721997*a(n-8) +34134385961*a(n-9) +193137936456*a(n-10) -2510793173928*a(n-11) -10320305833888*a(n-12) +134163975840544*a(n-13) +407697970217164*a(n-14) -5300073612823132*a(n-15) -11991972387294603*a(n-16) +155895641034829839*a(n-17) +262231592584367494*a(n-18) -3409010703596777422*a(n-19) -4220509269410999212*a(n-20) +54866620502342989756*a(n-21) +49009303645963174686*a(n-22) -637120947397521270918*a(n-23) -397172035135043236199*a(n-24) +5163236456755562070587*a(n-25) +2128419673029471315452*a(n-26) -27669455749383127100876*a(n-27) -6888351482794359567696*a(n-28) +89548569276326674380048*a(n-29) +11351034044825782285888*a(n-30) -147563442582735169716544*a(n-31) -6238969631490801587200*a(n-32) +81106605209380420633600*a(n-33)

Example

Some solutions for n=4
..0..0..0..0..0....1..0..0..1..0....1..1..0..1..1....0..1..1..1..1
..0..0..0..0..0....0..0..1..1..0....1..1..0..1..1....0..0..0..0..0
..1..0..1..0..1....0..1..1..0..0....0..0..0..0..0....0..1..0..0..1
..1..0..0..1..0....0..0..1..1..0....0..1..0..0..1....0..1..0..0..1
..1..0..1..0..1....1..1..1..1..0....1..1..0..1..1....0..0..1..1..0
..1..0..0..1..0....1..0..0..1..0....0..1..0..0..1....0..1..1..1..1

Crossrefs

Cf. A262472.

Sequence in context: A309594 A098265 A195540 * A309808 A201809 A129541

Adjacent sequences: A262472 A262473 A262474 * A262476 A262477 A262478

Keyword

nonn

Author

R. H. Hardin, Sep 23 2015

Status

approved