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A249994 Expansion of 1/((1-2*x)*(1+3*x)*(1-4*x)). 3
1, 3, 19, 63, 307, 1095, 4843, 18111, 76483, 294327, 1213147, 4747119, 19308979, 76282599, 308006731, 1223430687, 4919576995, 19600876311, 78636062395, 313847102415, 1257480899731, 5023648225863, 20113423216939, 80397210315903, 321758305696387, 1286524863041655 (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 (3,10,-24).

FORMULA

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

a(n) = (-7*2^(1+n)+5*2^(3+2*n)+(-1)^n*3^(2+n))/35. - Colin Barker, Dec 29 2014

a(n) = 3*a(n-1) + 10*a(n-2) - 24*a(n-3). - Colin Barker, Dec 29 2014

PROG

(PARI) Vec(1/((2*x-1)*(3*x+1)*(4*x-1)) + O(x^100)) \\ Colin Barker, Dec 29 2014

CROSSREFS

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

Cf. A249992, A249993, A249995, A249996.

Sequence in context: A041015 A185448 A114250 * A316601 A178747 A071245

Adjacent sequences:  A249991 A249992 A249993 * A249995 A249996 A249997

KEYWORD

nonn,easy

AUTHOR

Alex Ratushnyak, Dec 28 2014

STATUS

approved

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Last modified November 20 20:57 EST 2018. Contains 317422 sequences. (Running on oeis4.)