The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A098617

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A098617

G.f. A(x) satisfies: A(x*G(x)) = G(x), where G(x) is the g.f. for A098616(n) = Pell(n+1)*Catalan(n).
(history; published version)

#47 by Peter Luschny at Fri Aug 30 02:56:05 EDT 2024

STATUS

reviewed

approved

#46 by Joerg Arndt at Fri Aug 30 01:57:36 EDT 2024

STATUS

proposed

reviewed

#45 by Jason Yuen at Fri Aug 30 01:40:32 EDT 2024

STATUS

editing

proposed

#44 by Jason Yuen at Fri Aug 30 01:40:25 EDT 2024

PROG

a(n):=2^n*sum(binomial((n-1)/2, j), j, 0, n/2); (/* Vladimir Kruchinin, May 18 2011 */

STATUS

approved

editing

#43 by Paul D. Hanna at Mon May 05 11:56:07 EDT 2014

STATUS

editing

approved

#42 by Paul D. Hanna at Mon May 05 11:56:00 EDT 2014

NAME

G.f. A(x) satisfies: A(x*G098616G(x)) = G098616G(x), where G098616 G(x) is the g.f. for A098616(n) = Pell(n+1)*Catalan(n).

COMMENTS

G.f. satisfies: A(x) = x/Series_Reversion(series reversion of x*G098616G(x)), where G098616 G(x) is the g.f. for A098616 = {1*1, 2*1, 5*2, 12*5, 29*14, 70*42, 169*132, ...}.

STATUS

approved

editing

#41 by N. J. A. Sloane at Tue Apr 22 01:40:25 EDT 2014

STATUS

proposed

approved

#40 by Fung Lam at Mon Apr 21 22:25:15 EDT 2014

STATUS

editing

proposed

#39 by Fung Lam at Mon Apr 21 22:24:15 EDT 2014

FORMULA

Asymptotic approximation: a(n) ~ (4/sqrt(2))^n/sqrt(2)+2^(n+1)/sqrt(2*Pi*n^3), for even n. - Fung Lam, Mar 31 2014

#38 by Vaclav Kotesovec at Wed Apr 16 16:44:19 EDT 2014

STATUS

proposed

editing