A259521 Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111

1204, 33162, 851604, 22453286, 589476522, 15503669216, 407656116320, 10720344908210, 281914700860322, 7413627501305340, 194959116068482708, 5126921239618282672, 134824786575257866732, 3545543860883412901370

Offset

1,1

Comments

Column 5 of A259524

Links

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

Formula

Empirical: a(n) = 51*a(n-1) -805*a(n-2) +3209*a(n-3) +37453*a(n-4) -417551*a(n-5) +815341*a(n-6) +7216861*a(n-7) -40290699*a(n-8) +24318580*a(n-9) +307333858*a(n-10) -684397564*a(n-11) -709536075*a(n-12) +3625174740*a(n-13) -763760119*a(n-14) -9155414619*a(n-15) +6719109756*a(n-16) +12902695893*a(n-17) -13865362580*a(n-18) -10797221393*a(n-19) +14735900778*a(n-20) +5612692485*a(n-21) -9068116073*a(n-22) -1937157517*a(n-23) +3292107469*a(n-24) +482465491*a(n-25) -683386889*a(n-26) -85241972*a(n-27) +75921724*a(n-28) +9085136*a(n-29) -4088944*a(n-30) -500115*a(n-31) +86878*a(n-32) +11224*a(n-33) -398*a(n-34) -78*a(n-35) -2*a(n-36)

Example

Some solutions for n=2
..1..0..0..1..1..0....1..0..0..0..0..1....0..0..0..0..0..0....0..1..0..1..1..0
..0..0..0..0..0..0....0..0..1..0..0..0....1..0..0..0..1..0....1..0..1..0..0..1
..0..1..0..0..1..0....0..0..1..0..1..0....0..1..1..1..0..0....1..0..0..0..0..0

Crossrefs

Cf. A259524

Sequence in context: A252340 A230838 A210015 * A190031 A254694 A279983

Adjacent sequences: A259518 A259519 A259520 * A259522 A259523 A259524

Keyword

nonn

Author

R. H. Hardin, Jun 29 2015

Status

approved