A275634 Expansion of ( 3-2*x-2*x^2 ) / ( 1-5*x+2*x^2+3*x^3 ).

3, 13, 57, 250, 1097, 4814, 21126, 92711, 406861, 1785505, 7835670, 34386757, 150905930, 662249126, 2906273499, 12754151453, 55971462889, 245630191042, 1077945575073, 4730553104614, 20759983799798, 91104976064543, 399813253409277, 1754576363517905, 7699940382577342, 33791109425623069

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-2,-3).

Formula

a(n) = 5*a(n-1)-2*a(n-2)-3*a(n-3) for n>2. - Colin Barker, Aug 10 2016

Mathematica

LinearRecurrence[{5, -2, -3}, {3, 13, 57}, 30] (* Paolo Xausa, Oct 21 2024 *)

Prog

(PARI) Vec((3-2*x-2*x^2)/(1-5*x+2*x^2+3*x^3) + O(x^40)) \\ Colin Barker, Aug 10 2016

Crossrefs

Has same start as A010921 but is different from it.

Sequence in context: A020515 A049086 A010921 * A163606 A115968 A256939

Adjacent sequences: A275631 A275632 A275633 * A275635 A275636 A275637

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 09 2016

Status

approved