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A121202 12n+7^n-5^n. 1
0, 14, 48, 254, 1824, 13742, 102096, 745502, 5374272, 38400590, 272709744, 1928498750, 13597146720, 95668307438, 672119557392, 4717043931998, 33080342679168, 231867574534286, 1624598900645040, 11379821699045246 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (14,-60,82,-35).

FORMULA

G.f.: 2*(7*x-74*x^2+211*x^3)/((1-x)^2*(1-5*x)*(1-7*x)). - Vincenzo Librandi, Feb 25 2013

a(n) = 14*a(n-1)-60*a(n-2)+82*a(n-3)-35*a(n-4). - Vincenzo Librandi, Feb 27 2013

MATHEMATICA

CoefficientList[Series[2 (7 x - 74 x^2 + 211 x^3)/((1-x)^2 (1-5 x)(1-7 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Feb 25 2013 *)

PROG

(MAGMA) [7^n - 5^n + 12*n: n in [0..30]] /* or *) I:=[0, 14, 48, 254]; [n le 4 select I[n] else 14*Self(n-1)-60*Self(n-2)+82*Self(n-3)-35*Self(n-4): n in [1..20]]; // Vincenzo Librandi, Feb 25 2013

CROSSREFS

Cf. A074616.

Sequence in context: A232826 A205468 A195966 * A251228 A250973 A039340

Adjacent sequences:  A121199 A121200 A121201 * A121203 A121204 A121205

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Aug 19 2006

EXTENSIONS

Edited by Ray Chandler, Sep 06 2006

STATUS

approved

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Last modified January 20 14:40 EST 2019. Contains 319333 sequences. (Running on oeis4.)