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A131430 Row sums of triangle A131429. 2
1, 2, 7, 25, 88, 311, 1114, 4050, 14917, 55528, 208459, 787920, 2994655, 11433998, 43824437, 168520201, 649840740, 2512011359, 9731179138, 37768570827, 146833956266, 571711568905, 2229035221824, 8701426599353, 34005503702176, 133030452858279, 520905732440782 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200

FORMULA

a(n) = binomial(2*n, n) - (n+1) + Sum_{k=0..n} binomial(2*k, k)/(k+1). - Andrew Howroyd, Aug 28 2018

EXAMPLE

a(3) = 25 = sum of row 3 terms of triangle A131429: (5 + 5 + 6 + 9).

PROG

(PARI) a(n)={binomial(2*n, n) - n - 1 + sum(k=0, n, binomial(2*k, k)/(k+1))} \\ Andrew Howroyd, Aug 28 2018

CROSSREFS

Cf. A000108, A131427, A131428, A131429.

Sequence in context: A289446 A289598 A030017 * A007484 A070859 A048576

Adjacent sequences:  A131427 A131428 A131429 * A131431 A131432 A131433

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Jul 10 2007

EXTENSIONS

Terms a(10) and beyond from Andrew Howroyd, Aug 28 2018

STATUS

approved

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Last modified January 21 03:58 EST 2022. Contains 350473 sequences. (Running on oeis4.)