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 A214167 Number of 0..5 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..5 introduced in row major order. 3
 1, 1, 4, 11, 41, 161, 694, 3151, 14851, 71621, 350384, 1729091, 8577661, 42686281, 212828074, 1062335831, 5306276471, 26515196141, 132527465764, 662491871371, 3312023159281, 16558807553201, 82790113735454, 413938797983711 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row 1 of A214166. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 10*a(n-1) -30*a(n-2) +20*a(n-3) +31*a(n-4) -30*a(n-5). Empirical: a(n) = 2^n/9 +3/16 -53*(-1)^n/144 +3^n/16 +5^n/144. - R. J. Mathar, Jul 09 2012 Empirical: G.f.: x*(1 - 9*x + 24*x^2 - 19*x^3) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 5*x)). - Colin Barker, Apr 22 2019 EXAMPLE Some solutions for n=8 ..0..1..0..2..0..1..0..1..2........0..1..0..1..0..1..0..2..3 CROSSREFS Cf. A214166. Sequence in context: A149270 A306188 A307702 * A278988 A214188 A214239 Adjacent sequences: A214164 A214165 A214166 * A214168 A214169 A214170 KEYWORD nonn AUTHOR R. H. Hardin, Jul 05 2012 STATUS approved

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Last modified September 7 13:04 EDT 2024. Contains 375730 sequences. (Running on oeis4.)