A318073 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
32, 89, 179, 372, 854, 3029, 9966, 31057, 102906, 339938, 1115341, 3686471, 12202268, 40357737, 133516203, 442017482, 1463416356, 4844264732, 16038582879, 53104714108, 175822278334, 582142483984, 1927505047124, 6381987620459
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..0..0..0..0..0. .0..0..1..1..1..1. .0..1..1..1..1..0. .0..0..1..1..1..1 ..0..0..0..0..0..0. .0..1..1..1..0..1. .1..0..0..1..0..1. .0..1..1..1..1..1 ..0..0..0..0..0..1. .1..1..1..0..1..1. .1..1..1..1..1..1. .1..1..1..0..1..1 ..0..0..0..0..1..1. .1..0..1..1..1..1. .1..1..1..1..1..1. .1..1..0..1..1..1 ..0..0..0..1..1..1. .0..1..1..1..1..1. .0..0..0..0..0..0. .1..1..1..1..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A318075.
Formula
Empirical: a(n) = 4*a(n-1) -4*a(n-2) +20*a(n-3) -53*a(n-4) +42*a(n-5) -141*a(n-6) +233*a(n-7) -201*a(n-8) +487*a(n-9) -268*a(n-10) +489*a(n-11) -1197*a(n-12) +587*a(n-13) -2030*a(n-14) +2132*a(n-15) -1266*a(n-16) +2926*a(n-17) -1010*a(n-18) +1350*a(n-19) -2698*a(n-20) +3123*a(n-21) -5723*a(n-22) +5669*a(n-23) -3510*a(n-24) -1261*a(n-25) +1023*a(n-26) +2441*a(n-27) -5509*a(n-28) +9188*a(n-29) -8116*a(n-30) +5375*a(n-31) -2481*a(n-32) +1789*a(n-33) -673*a(n-34) +1170*a(n-35) -4427*a(n-36) +4578*a(n-37) -4241*a(n-38) +2836*a(n-39) -553*a(n-40) -1029*a(n-41) +592*a(n-42) +939*a(n-43) -822*a(n-44) +491*a(n-45) -433*a(n-46) +91*a(n-47) +294*a(n-48) -222*a(n-49) -99*a(n-50) +125*a(n-51) -9*a(n-52) -25*a(n-53) +6*a(n-54) +3*a(n-55) -a(n-56) for n>61
Comments