A260541 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001

582, 976, 2226, 4398, 9184, 21050, 40916, 87410, 201208, 402848, 821864, 1875468, 3915914, 7859688, 17346634, 37355368, 75700214, 161905666, 352069138, 727251892, 1527430530, 3306328274, 6942964498, 14500464116, 31097174670

Offset

1,1

Comments

Column 5 of A260544

Links

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

Formula

Empirical: a(n) = 10*a(n-3) +15*a(n-4) +a(n-5) -31*a(n-6) -97*a(n-7) -101*a(n-8) +45*a(n-9) +215*a(n-10) +438*a(n-11) +371*a(n-12) -224*a(n-13) -899*a(n-14) -1291*a(n-15) -974*a(n-16) +744*a(n-17) +2755*a(n-18) +3017*a(n-19) +1910*a(n-20) -3252*a(n-21) -5726*a(n-22) -6017*a(n-23) -1511*a(n-24) +7287*a(n-25) +9229*a(n-26) +9360*a(n-27) +522*a(n-28) -6813*a(n-29) -8389*a(n-30) -11476*a(n-31) -2691*a(n-32) +5711*a(n-33) +534*a(n-34) +12628*a(n-35) +440*a(n-36) -1143*a(n-37) +1372*a(n-38) -7359*a(n-39) +2358*a(n-40) -3274*a(n-41) +1777*a(n-42) +442*a(n-43) -467*a(n-44) +1568*a(n-45) -1166*a(n-46) +811*a(n-47) -313*a(n-48) -155*a(n-49) +271*a(n-50) -374*a(n-51) +246*a(n-52) -123*a(n-53) +53*a(n-54) +12*a(n-55) -22*a(n-56) +14*a(n-57) -8*a(n-58) +2*a(n-59) for n>63

Example

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

Crossrefs

Cf. A260544

Sequence in context: A172763 A172835 A172883 * A162705 A244344 A059468

Adjacent sequences: A260538 A260539 A260540 * A260542 A260543 A260544

Keyword

nonn

Author

R. H. Hardin, Jul 28 2015

Status

approved