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A116698 Expansion of -(1-x+3*x^2+x^3) / ((x^2+x-1)*(2*x^2+1)). 3
1, 0, 2, 5, 5, 4, 13, 29, 34, 39, 89, 176, 233, 313, 610, 1115, 1597, 2328, 4181, 7277, 10946, 16687, 28657, 48416, 75025, 117297, 196418, 326003, 514229, 815656, 1346269, 2211077, 3524578, 5637351, 9227465 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(2n) = F(2n+1) = A001519(n).

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,-1,2,2).

FORMULA

a(n) = a(n-1) - a(n-2) + 2*a(n-3) + 2*a(n-4) for n > 3. - Colin Barker, May 18 2019

PROG

(PARI) Vec((1 - x + 3*x^2 + x^3) / ((1 - x - x^2)*(1 + 2*x^2)) + O(x^40)) \\ Colin Barker, May 18 2019

CROSSREFS

Cf. A001519, A006498, A115008, A116697, A116699.

Sequence in context: A179373 A200484 A197004 * A246900 A277086 A229710

Adjacent sequences:  A116695 A116696 A116697 * A116699 A116700 A116701

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Feb 23 2006

STATUS

approved

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Last modified December 13 01:23 EST 2019. Contains 329963 sequences. (Running on oeis4.)