A120793 - OEIS

A120793

Denominators of partial sums of Catalan numbers scaled by powers of -1/12.

1, 12, 72, 1728, 10368, 4608, 248832, 11943936, 214990848, 2579890176, 15479341056, 371504185344, 2229025112064, 26748301344768, 53496602689536, 1711891286065152, 10271347716390912, 369768517790072832

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OFFSET

0,2

COMMENTS

Numerators are given under A120792.

LINKS

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

FORMULA

a(n)=denominator(r(n)), with the rationals r(n):=sum(((-1)^k)*C(k)/12^k,k=0..n) with C(k):=A000108(k) (Catalan numbers). Rationals r(n) are taken in lowest terms.

CROSSREFS

Sequence in context: A108734 A143559 A341542 * A120783 A103475 A024014

Adjacent sequences: A120790 A120791 A120792 * A120794 A120795 A120796

KEYWORD

nonn,easy,frac

AUTHOR

Wolfdieter Lang, Jul 20 2006

STATUS

approved