A260472 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010101

414, 1085, 4607, 15502, 57524, 228287, 839073, 3095233, 11809031, 44303443, 164909771, 620730229, 2333261427, 8731252217, 32758466355, 123014796659, 461213884299, 1729719499043, 6490923837905, 24348087968989, 91323390042221

Offset

1,1

Comments

Column 5 of A260475

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +33*a(n-3) +20*a(n-4) -18*a(n-5) -257*a(n-6) -260*a(n-7) -42*a(n-8) +912*a(n-9) +794*a(n-10) +181*a(n-11) -1126*a(n-12) -774*a(n-13) +140*a(n-14) +1295*a(n-15) +182*a(n-16) -2115*a(n-17) -2863*a(n-18) -1164*a(n-19) +2571*a(n-20) +3736*a(n-21) +1547*a(n-22) -1848*a(n-23) -2648*a(n-24) +734*a(n-25) +4007*a(n-26) +4392*a(n-27) -255*a(n-28) -4650*a(n-29) -4693*a(n-30) -1324*a(n-31) +1748*a(n-32) +1791*a(n-33) +136*a(n-34) -632*a(n-35) -677*a(n-36) +143*a(n-37) +278*a(n-38) +264*a(n-39) +10*a(n-40) -12*a(n-41) -24*a(n-42) for n>47

Example

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

Crossrefs

Cf. A260475

Sequence in context: A205585 A176381 A027661 * A253489 A253496 A253450

Adjacent sequences: A260469 A260470 A260471 * A260473 A260474 A260475

Keyword

nonn

Author

R. H. Hardin, Jul 26 2015

Status

approved