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

Author

Omar E. Pol, Nov 11 2007

Keywords

• easy
• nonn
• changed

Crossrefs

Cf. A000931.

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

Programs

Mathematica

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

Formula

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