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A080422 (n+1)(n+2)(n+3)(n+12)3^n/72. 3
1, 13, 105, 675, 3780, 19278, 91854, 415530, 1804275, 7577955, 30961359, 123589557, 483611310, 1860043500, 7046907660, 26344593252, 97328636181, 355781149065, 1288173125925, 4623863536215, 16466920464456, 58222325927898 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (15,-90,270,-405,243)

FORMULA

G.f. (1-2*x)/(1-3*x)^5.

a(0)=1, a(1)=13, a(2)=105, a(3)=675, a(4)=3780; for n>4, a(n)=15*a(n-1)- 90*a(n-2)+ 270*a(n-3)-405*a(n-4)+243*a(n-5). [Harvey P. Dale, Oct 22 2011]

MATHEMATICA

Table[(n + 1) (n + 2) (n + 3) (n + 12) 3^n/72, {n, 0, 30}] (* or *) LinearRecurrence[ {15, -90, 270, -405, 243}, {1, 13, 105, 675, 3780}, 30] (* Harvey P. Dale, Oct 22 2011 *)

CoefficientList[Series[(1 - 2 x) / (1 - 3 x)^5, {x, 0, 30}], x] (* Vincenzo Librandi, Aug 05 2013 *)

PROG

(MAGMA) [Floor((n+1)*(n+2)*(n+3)*(n+12)*3^n/72): n in [0..30]]; // Vincenzo Librandi, Aug 05 2013

CROSSREFS

T(n, 4) in triangle A080419.

Sequence in context: A316425 A317427 A320204 * A030055 A155636 A055902

Adjacent sequences:  A080419 A080420 A080421 * A080423 A080424 A080425

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Feb 19 2003

STATUS

approved

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Last modified October 14 04:29 EDT 2019. Contains 327995 sequences. (Running on oeis4.)