A260291 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001

966, 1524, 3764, 7146, 10952, 29166, 62980, 101512, 225924, 560690, 1001440, 1911188, 4763260, 9721182, 17438056, 40009846, 89915636, 165964636, 343452844, 797625118, 1580513144, 3066061396, 6929750012, 14700161924, 28262011124

Offset

1,1

Comments

Column 5 of A260294

Links

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

Formula

Empirical: a(n) = 8*a(n-3) +15*a(n-4) -21*a(n-6) -54*a(n-7) -96*a(n-8) +24*a(n-9) +110*a(n-10) +58*a(n-11) +363*a(n-12) -140*a(n-13) -80*a(n-14) +476*a(n-15) -862*a(n-16) +94*a(n-17) -536*a(n-18) -2602*a(n-19) +2319*a(n-20) -730*a(n-21) +2435*a(n-22) +5486*a(n-23) -4094*a(n-24) +4198*a(n-25) -4483*a(n-26) -6568*a(n-27) +5241*a(n-28) -12170*a(n-29) +5903*a(n-30) +1052*a(n-31) -5061*a(n-32) +19588*a(n-33) -11216*a(n-34) +9966*a(n-35) +283*a(n-36) -14948*a(n-37) +14249*a(n-38) -12458*a(n-39) +4592*a(n-40) +8246*a(n-41) -9693*a(n-42) +7496*a(n-43) -4542*a(n-44) -2962*a(n-45) +10795*a(n-46) -8100*a(n-47) +6583*a(n-48) +3686*a(n-49) -10166*a(n-50) +5138*a(n-51) -3253*a(n-52) -3056*a(n-53) +2290*a(n-54) -2556*a(n-55) -480*a(n-56) +230*a(n-57) +20*a(n-58) +1106*a(n-59) +1231*a(n-60) +328*a(n-61) +51*a(n-62) -292*a(n-63) -468*a(n-64) -78*a(n-65) -37*a(n-66) +48*a(n-67) +68*a(n-68) +4*a(n-69) +4*a(n-70) -4*a(n-71) -3*a(n-72) for n>78

Example

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

Crossrefs

Cf. A260294

Sequence in context: A345549 A345802 A014363 * A251232 A202049 A246477

Adjacent sequences: A260288 A260289 A260290 * A260292 A260293 A260294

Keyword

nonn

Author

R. H. Hardin, Jul 22 2015

Status

approved