A263120 Number of (n+3)X(2+3) 0..1 arrays with each row divisible by 15 and column not divisible by 15, read as a binary number with top and left being the most significant bits.

36, 148, 522, 1708, 5124, 15640, 47602, 144236, 432708, 1295524, 3883594, 11649676, 34949028, 104703688, 313818418, 940969804, 2822909412, 8465899188, 25390861962, 76159749740, 228479249220, 685409187320, 2056136698226

Offset

1,1

Comments

Column 2 of A263124.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) -8*a(n-3) +48*a(n-4) -168*a(n-5) +48*a(n-6) +312*a(n-7) -955*a(n-8) +2884*a(n-9) -955*a(n-10) -4832*a(n-11) +7632*a(n-12) -16032*a(n-13) +7632*a(n-14) +17568*a(n-15) +4886*a(n-16) -72248*a(n-17) +4886*a(n-18) +197200*a(n-19) -366336*a(n-20) +873744*a(n-21) -366336*a(n-22) -1155888*a(n-23) +1014058*a(n-24) -588568*a(n-25) +1014058*a(n-26) -2290528*a(n-27) +6020160*a(n-28) -17209056*a(n-29) +6020160*a(n-30) +27546528*a(n-31) -27604133*a(n-32) +27776948*a(n-33) -27604133*a(n-34) +27085688*a(n-35) -75797424*a(n-36) +221932632*a(n-37) -75797424*a(n-38) -362608200*a(n-39) +362785825*a(n-40) -363318700*a(n-41) +362785825*a(n-42) -361187200*a(n-43) +406335600*a(n-44) -541780800*a(n-45) +406335600*a(n-46)

Example

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

Crossrefs

Cf. A263124.

Sequence in context: A003848 A203753 A039495 * A034592 A160754 A275496

Adjacent sequences: A263117 A263118 A263119 * A263121 A263122 A263123

Keyword

nonn

Author

R. H. Hardin, Oct 10 2015

Status

approved