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A048514 a(n) = T(0,n)+T(1,n-1)+...+T(n,0), array T given by A048505. 2
1, 3, 13, 54, 190, 587, 1659, 4412, 11244, 27785, 67089, 159106, 371930, 859159, 1964855, 4454968, 10025240, 22411221, 49804909, 110097630, 242217766, 530575683, 1157623603, 2516577524, 5452589700, 11777599457 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..25.

FORMULA

G.f.: (8*x^5-37*x^4+46*x^3-25*x^2+7*x-1) / ((x-1)^4*(2*x-1)^3). - Colin Barker, Feb 25 2015

PROG

(PARI)

T(k, n) = (n^2 + (4*k+1)*n + (2*k)^2) * 2^(n-2) - k^2 + 1

a(n) = sum(k=0, n, T(k, n-k)) \\ Colin Barker, Feb 25 2015

CROSSREFS

Sequence in context: A065839 A066611 A180933 * A037779 A323264 A305655

Adjacent sequences:  A048511 A048512 A048513 * A048515 A048516 A048517

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Typo in a(25) fixed by Colin Barker, Feb 25 2015

STATUS

approved

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Last modified November 14 09:51 EST 2019. Contains 329111 sequences. (Running on oeis4.)