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⇱ The On-Line Encyclopedia of Integer Sequences (OEIS)

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Showing entries 1-10 | older changes
a(n) = (1/n^2) * Sum_{k=0..n-1} (2k+1)*S(k,n)^2, where S(k,x) denotes the polynomial Sum_{j=0..k} binomial(k,j)*binomial(x,j)*binomial(x+j,j).
#59 by Sean A. Irvine at Wed Nov 05 15:22:29 EST 2025
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Wed Nov 05
15:22
OEIS Server: https://oeis.org/edit/global/3061
#58 by Alois P. Heinz at Fri Mar 28 16:44:57 EDT 2025
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#57 by Michel Marcus at Fri Mar 28 16:41:57 EDT 2025
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#56 by Michel Marcus at Fri Mar 28 16:41:54 EDT 2025
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#55 by Peter Luschny at Sat Nov 12 05:21:51 EST 2022
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#54 by Peter Luschny at Sat Nov 12 05:10:19 EST 2022
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#53 by Peter Luschny at Sat Nov 12 05:10:14 EST 2022
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#52 by Peter Luschny at Sat Nov 12 05:06:16 EST 2022
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Sat Nov 12
05:10
Peter Luschny: In fact, I prefer the first version, starting with Catalan^2 
including n=0 instead of excluding 0 starting with 1/n^2. And Apery numbers and "Apery-like" numbers start at 0. The offset is not a fetish.
#51 by Mark van Hoeij at Fri Nov 11 18:33:11 EST 2022
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Sat Nov 12
02:06
Michel Marcus: Peter ?
05:04
Peter Luschny: I don't hang around in the OEIS 24 hours a day, 12 hours is enough.
#50 by Mark van Hoeij at Fri Nov 11 18:31:24 EST 2022
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