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A249995 Expansion of 1/((1+2*x)*(1-3*x)*(1-4*x)). 3
1, 5, 27, 121, 539, 2289, 9619, 39737, 162987, 663553, 2690051, 10865673, 43783195, 176086097, 707220723, 2837479129, 11375770763, 45580514721, 182554616035, 730915611305, 2925754935291, 11709295114225, 46856010770387, 187480525633401, 750091566966379, 3000874627609409 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (5,2,-24).

FORMULA

G.f.: 1/((1+2*x)*(1-3*x)*(1-4*x)).

a(n) = ((-1)^n*2^(1+n)+5*2^(3+2*n)-3^(3+n))/15. - Colin Barker, Dec 29 2014

a(n) = 5*a(n-1) + 2*a(n-2) - 24*a(n-3). - Colin Barker, Dec 29 2014

PROG

(PARI) Vec(1/((1+2*x)*(1-3*x)*(1-4*x)) + O(x^50)) \\ Michel Marcus, Dec 29 2014

CROSSREFS

Cf. A016269 for the expansion of 1/((1-2*x)*(1-3*x)*(1-4*x)).

Cf. A249992, A249993, A249994, A249996.

Sequence in context: A202508 A129868 A069993 * A009027 A275540 A037498

Adjacent sequences:  A249992 A249993 A249994 * A249996 A249997 A249998

KEYWORD

nonn,easy

AUTHOR

Alex Ratushnyak, Dec 28 2014

STATUS

approved

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Last modified November 19 00:12 EST 2018. Contains 317332 sequences. (Running on oeis4.)