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A108168 Padovan sequence for indices of the Beatty sequence of the tribonacci constant. 0
0, 1, 2, 3, 5, 9, 12, 21, 37, 65, 114, 200, 265, 465, 816, 1432, 2513, 4410, 5842, 10252, 17991, 31572, 55405, 97229, 128801, 226030, 396655, 696081, 1221537, 2143648, 3761840, 4983377, 8745217, 15346786, 26931732, 47261895, 82938844, 109870576 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Limit[a(n)/a(n-1),n->Infinity]={1.32472, 1.75488, 1.75488, 1.75488, 1.75488, 1.75488}

LINKS

Table of n, a(n) for n=1..38.

FORMULA

a(n) = A000931(3+(A158919(n)). - R. J. Mathar, Sep 11 2011

MATHEMATICA

NSolve[x^3 - x^2 - x - 1 = 0, x] beta = 1.8392867552141612 F[1] = 0; F[2] = 1; F[3] = 1; F[n__] := F[n] = F[n - 2] + F[n - 3] a1 = Table[F[Floor[beta*n]], {n, 1, 50}] Table[N[a1[[n]]/a1[[n - 1]]], {n, 3, Length[a1]}]

CROSSREFS

Cf. A000931.

Sequence in context: A316154 A079741 A000861 * A245905 A087146 A033945

Adjacent sequences:  A108165 A108166 A108167 * A108169 A108170 A108171

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Jun 13 2005

STATUS

approved

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Last modified March 20 05:29 EDT 2019. Contains 321344 sequences. (Running on oeis4.)