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 A174575 a(n) = floor( (alpha^n-beta^n)/(alpha-beta) ), where alpha=(1 + 3^(1/4))/2 and beta = (1 - 3^(1/4))/2. 1
 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 10, 12, 14, 16, 19, 22, 25, 29, 34, 39, 46, 53, 62, 71, 83, 96, 111, 129, 149, 173, 200, 232, 268, 311, 360, 417, 483, 560, 648, 751, 869, 1007, 1166 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 REFERENCES The sequence is designed to have alpha as the limiting ratio of a(n+1)/a(n): 1.1580370064762462304... LINKS MATHEMATICA a = (1 + 3^(1/4))/2; b = (1 - 3^(1/4))/2; f[n_] := Floor[FullSimplify[(a^n - b^n)/(a - b)]] Table[f[n], {n, 0, 50}] CROSSREFS Cf. A174427 Sequence in context: A164066 A053251 A090184 * A029057 A087897 A029056 Adjacent sequences:  A174572 A174573 A174574 * A174576 A174577 A174578 KEYWORD nonn,less AUTHOR Roger L. Bagula, Nov 29 2010 STATUS approved

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Last modified January 23 19:36 EST 2020. Contains 331175 sequences. (Running on oeis4.)