A302638 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
16, 21, 42, 101, 257, 691, 1734, 4502, 11524, 30121, 77399, 200317, 516438, 1338344, 3454506, 8931187, 23069491, 59659415, 154144020, 398416450, 1029570334, 2661273981, 6877566431, 17775332669, 45938756798, 118731629576, 306855446658
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..1..0..1..0. .0..1..0..1..1. .0..1..1..0..1. .0..1..0..1..0 ..0..1..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .0..0..0..1..1 ..1..1..1..1..1. .1..0..1..0..1. .1..0..1..0..1. .0..1..0..1..0 ..0..1..0..1..0. .1..0..1..0..1. .1..0..0..0..1. .0..1..0..1..0 ..0..0..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .0..1..0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A302635.
Formula
Empirical: a(n) = a(n-1) +2*a(n-2) +2*a(n-3) +32*a(n-4) -23*a(n-5) -47*a(n-6) -43*a(n-7) -427*a(n-8) +208*a(n-9) +448*a(n-10) +345*a(n-11) +3212*a(n-12) -1010*a(n-13) -2363*a(n-14) -1271*a(n-15) -15417*a(n-16) +2994*a(n-17) +7880*a(n-18) +1333*a(n-19) +50564*a(n-20) -5840*a(n-21) -17997*a(n-22) +7273*a(n-23) -118241*a(n-24) +8112*a(n-25) +30065*a(n-26) -37203*a(n-27) +202588*a(n-28) -9318*a(n-29) -39397*a(n-30) +89218*a(n-31) -258497*a(n-32) +10902*a(n-33) +43343*a(n-34) -137629*a(n-35) +247123*a(n-36) -13254*a(n-37) -41319*a(n-38) +148584*a(n-39) -175807*a(n-40) +13979*a(n-41) +33450*a(n-42) -115878*a(n-43) +90721*a(n-44) -11249*a(n-45) -22157*a(n-46) +65549*a(n-47) -32142*a(n-48) +6528*a(n-49) +11644*a(n-50) -26262*a(n-51) +7028*a(n-52) -2590*a(n-53) -4592*a(n-54) +6998*a(n-55) -752*a(n-56) +632*a(n-57) +1184*a(n-58) -1088*a(n-59) +16*a(n-60) -72*a(n-61) -144*a(n-62) +72*a(n-63) for n>64
Comments