A134719 Odd Padovan numbers.

1, 1, 1, 1, 1, 3, 5, 7, 9, 21, 37, 49, 65, 151, 265, 351, 465, 1081, 1897, 2513, 3329, 7739, 13581, 17991, 23833, 55405, 97229, 128801, 170625, 396655, 696081, 922111, 1221537, 2839729, 4983377, 6601569, 8745217, 20330163, 35676949, 47261895, 62608681

Offset

1,6

Links

Table of n, a(n) for n=1..41.

Formula

Empirical g.f.: x*(x+1)*(x^10-2*x^9+3*x^8-4*x^7+4*x^6-2*x^5+6*x^4-x^2-1) / (x^12+x^8+7*x^4-1). - Colin Barker, Sep 17 2013

Mathematica

Select[CoefficientList[Series[(1 - x^2)/(1 - x^2 - x^3), {x, 0, 100}], x], OddQ] (* T. D. Noe, Jul 31 2011 *)

Crossrefs

Cf. A000931.

Cf. A047328 (Indices of the odd numbers in the Padovan sequence). - Francesco Daddi, Jul 31 2011

Sequence in context: A179085 A076185 A101813 * A373509 A273519 A241175

Adjacent sequences: A134716 A134717 A134718 * A134720 A134721 A134722

Keyword

easy,nonn

Author

Omar E. Pol, Nov 11 2007

Status

approved