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A098437 Row sums in triangle of 3rd central factorial numbers (A098436). 2
1, 2, 11, 111, 1732, 41153, 1361023, 59661972, 3400514643, 244686040585, 21672428066346, 2327934086035165, 299095824104595685, 45325168774732866658, 8011977427652269129031 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

John Riordan, Letter, Apr 28 1976.

FORMULA

O.g.f.: Sum_{n>=0} x^n / Product_{k=1..n+1} (1-k^3*x). [From Paul D. Hanna, Feb 15 2012]

G.f.: (1 - G(0) )/(1-x) where G(k) =1 - 1/(1 - x*k^3)/(1-x/(x-1/G(k+1) )); (recursively defined continued fraction). - Sergei N. Gladkovskii, Jan 17 2013

PROG

(PARI) {a(n)=polcoeff(sum(m=0, n, x^m/prod(k=1, m+1, 1-k^3*x +x*O(x^n))), n)} /* Paul D. Hanna, Feb 15 2012 */

CROSSREFS

Sequence in context: A053988 A141314 A099933 * A145163 A205073 A069574

Adjacent sequences:  A098434 A098435 A098436 * A098438 A098439 A098440

KEYWORD

nonn

AUTHOR

Ralf Stephan, Sep 08 2004

STATUS

approved

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Last modified May 30 18:38 EDT 2020. Contains 334728 sequences. (Running on oeis4.)