A259512 Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0101 0111

689, 9227, 126045, 1769635, 25009044, 355119489, 5050441910, 71892362811, 1023722858631, 14580213573278, 207670950496698, 2958047253018009, 42134766083598488, 600177800077956164, 8549101075136347880

Offset

1,1

Comments

Column 5 of A259515

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +150*a(n-2) -1839*a(n-3) -7337*a(n-4) +97344*a(n-5) +144584*a(n-6) -2601960*a(n-7) -588305*a(n-8) +39116878*a(n-9) -20332011*a(n-10) -347204803*a(n-11) +349046520*a(n-12) +1868665667*a(n-13) -2556742075*a(n-14) -6133493750*a(n-15) +10484944500*a(n-16) +11994133580*a(n-17) -25911862138*a(n-18) -12782872195*a(n-19) +39615238737*a(n-20) +4674887706*a(n-21) -37646826390*a(n-22) +4380964181*a(n-23) +21928503270*a(n-24) -6080186298*a(n-25) -7490471276*a(n-26) +3060886380*a(n-27) +1334826496*a(n-28) -755438296*a(n-29) -80164896*a(n-30) +84756256*a(n-31) -4591488*a(n-32) -2857344*a(n-33) +222976*a(n-34) +31232*a(n-35) -1024*a(n-36)

Example

Some solutions for n=3
..0..0..0..1..0..1....1..0..1..0..0..0....0..1..1..1..0..1....1..0..0..1..0..0
..1..0..1..0..0..0....1..1..0..0..0..0....0..0..1..0..0..0....0..0..1..0..1..0
..0..0..0..0..0..0....1..0..0..0..0..1....0..1..0..0..0..0....0..0..0..0..0..0
..0..1..0..0..1..0....0..0..0..0..0..0....0..0..1..0..0..0....1..0..0..0..0..1

Crossrefs

Cf. A259515

Sequence in context: A025347 A204153 A204146 * A078877 A204145 A284284

Adjacent sequences: A259509 A259510 A259511 * A259513 A259514 A259515

Keyword

nonn

Author

R. H. Hardin, Jun 29 2015

Status

approved