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A134719 Odd Padovan numbers. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,6
LINKS
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 * A273519 A241175 A342729
KEYWORD
easy,nonn
AUTHOR
Omar E. Pol, Nov 11 2007
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)