The On-Line Encyclopedia of Integer Sequences (OEIS)

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A098510

Row sums of a matrix associated to the inverse of a Catalan scaled binomial matrix.
(history; published version)

#4 by Russ Cox at Fri Mar 30 18:58:59 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, Sep 11 2004

Discussion

Fri Mar 30

18:58

OEIS Server: https://oeis.org/edit/global/287

#3 by N. J. A. Sloane at Sun Dec 09 03:00:00 EST 2007

FORMULA

a(n)=sum{k=0..n, denominator((n+1)Binomialbinomial(n, k)/Binomialbinomial(2n, n))}

KEYWORD

easy,nonn,new

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

a(n)=sum{k=0..n, denominator((n+1)Binomial(n, k)/Binomial(2n, n))}

KEYWORD

easy,nonn,new

#1 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

NAME

Row sums of a matrix associated to the inverse of a Catalan scaled binomial matrix.

DATA

1, 2, 5, 20, 49, 210, 429, 2860, 7293, 34034, 113373, 537472, 1359507, 6611810, 24627135, 37917616, 177181213, 973514514, 1647439975, 12026570280, 17818756259, 98555142278, 502860886675, 4577646742140, 6402665244089

OFFSET

0,2

COMMENTS

Row sums of A098509.

FORMULA

a(n)=sum{k=0..n, denominator((n+1)Binomial(n,k)/Binomial(2n,n))}

KEYWORD

easy,nonn,new

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 11 2004

STATUS

approved