A098437 Row sums in triangle of 3rd central factorial numbers (A098436).

1, 2, 11, 111, 1732, 41153, 1361023, 59661972, 3400514643, 244686040585, 21672428066346, 2327934086035165, 299095824104595685, 45325168774732866658, 8011977427652269129031, 1637382919268474547159371, 383631067759657089030019620, 102247711279475795421327828493

Offset

0,2

Links

Table of n, a(n) for n=0..17.

John Riordan, Letter, Apr 28 1976.

Formula

O.g.f.: Sum_{n>=0} x^n / Product_{k=1..n+1} (1-k^3*x). - 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: A141314 A363481 A099933 * A145163 A205073 A387324

Adjacent sequences: A098434 A098435 A098436 * A098438 A098439 A098440

Keyword

nonn

Author

Ralf Stephan, Sep 08 2004

Extensions

More terms from Jason Yuen, Sep 20 2025

Status

approved