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A048481 a(n) = T(0,n)+T(1,n-1)+...+T(n,0), array T given by A048472. 3
1, 3, 9, 27, 77, 207, 529, 1299, 3093, 7191, 16409, 36891, 81949, 180255, 393249, 852003, 1835045, 3932199, 8388649, 17825835, 37748781, 79691823, 167772209, 352321587, 738197557, 1543503927, 3221225529, 6710886459, 13958643773, 28991029311, 60129542209 (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 (6,-13,12,-4).

FORMULA

Row sums of triangle A134397. Also, binomial transform of A048166. - Gary W. Adamson, Oct 23 2007

a(n) = 6*a(n-1)-13*a(n-2)+12*a(n-3)-4*a(n-4). - Colin Barker, Dec 04 2014

G.f.: (4*x^2-3*x+1) / ((x-1)^2*(2*x-1)^2). - Colin Barker, Dec 04 2014

MATHEMATICA

LinearRecurrence[{6, -13, 12, -4}, {1, 3, 9, 27}, 40] (* Harvey P. Dale, Aug 13 2015 *)

PROG

(PARI) Vec((4*x^2-3*x+1)/((x-1)^2*(2*x-1)^2) + O(x^100)) \\ Colin Barker, Dec 04 2014

CROSSREFS

Partial sums of A048495.

Cf. A134397, A048166.

Sequence in context: A269684 A182897 A228734 * A269488 A027027 A140348

Adjacent sequences:  A048478 A048479 A048480 * A048482 A048483 A048484

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected by T. D. Noe, Nov 08 2006

STATUS

approved

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Last modified July 19 08:12 EDT 2019. Contains 325155 sequences. (Running on oeis4.)