A260367 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111

616, 896, 2532, 5326, 6144, 15440, 37948, 52390, 101664, 257566, 426880, 725994, 1725912, 3274678, 5445516, 11736246, 23960256, 41364302, 81988816, 171038604, 310817940, 587494972, 1211225620, 2298124782, 4275996700, 8598088978

Offset

1,1

Comments

Column 5 of A260370

Links

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

Formula

Empirical: a(n) = 8*a(n-3) +19*a(n-4) -18*a(n-6) -124*a(n-7) -163*a(n-8) +10*a(n-9) +252*a(n-10) +864*a(n-11) +879*a(n-12) -174*a(n-13) -1591*a(n-14) -3680*a(n-15) -3315*a(n-16) +1266*a(n-17) +6073*a(n-18) +10814*a(n-19) +9133*a(n-20) -5114*a(n-21) -15884*a(n-22) -23402*a(n-23) -19214*a(n-24) +13236*a(n-25) +30495*a(n-26) +38782*a(n-27) +32769*a(n-28) -23424*a(n-29) -45619*a(n-30) -49722*a(n-31) -47865*a(n-32) +30226*a(n-33) +55237*a(n-34) +48214*a(n-35) +60530*a(n-36) -30888*a(n-37) -53980*a(n-38) -34404*a(n-39) -61349*a(n-40) +24766*a(n-41) +39056*a(n-42) +18624*a(n-43) +46236*a(n-44) -13648*a(n-45) -19198*a(n-46) -7988*a(n-47) -24471*a(n-48) +4392*a(n-49) +6110*a(n-50) +2386*a(n-51) +8570*a(n-52) -662*a(n-53) -1089*a(n-54) -306*a(n-55) -1825*a(n-56) -6*a(n-57) +60*a(n-58) -24*a(n-59) +201*a(n-60) +8*a(n-61) +3*a(n-62) +6*a(n-63) -8*a(n-64) for n>66

Example

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

Crossrefs

Cf. A260370

Sequence in context: A268102 A190029 A252252 * A218847 A219426 A297319

Adjacent sequences: A260364 A260365 A260366 * A260368 A260369 A260370

Keyword

nonn

Author

R. H. Hardin, Jul 23 2015

Status

approved