The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A193288 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A193288

E.g.f.: A(x) = 1/(1 - 3*x^2)^(1 + 1/(3*x)).
(history; published version)

#19 by Alois P. Heinz at Fri Feb 24 11:18:22 EST 2023

STATUS

proposed

approved

#18 by Sidney Cadot at Fri Feb 24 11:10:49 EST 2023

STATUS

editing

proposed

#17 by Sidney Cadot at Fri Feb 24 11:09:20 EST 2023

EXAMPLE

a(0) = 1; a(n) = (n-1)! * Sum_{k=1..n}　 k * 3^floor(k/2)/floor((k+1)/2) * a(n-k)/(n-k)!. - Seiichi Manyama, Apr 30 2022

STATUS

approved

editing

Discussion

Fri Feb 24

11:10

Sidney Cadot: Replaced "ideographic space" character ('\u3000') by a regular space.

#16 by Michael De Vlieger at Sat Apr 30 10:35:51 EDT 2022

STATUS

reviewed

approved

#15 by Joerg Arndt at Sat Apr 30 09:34:32 EDT 2022

STATUS

proposed

reviewed

#14 by Seiichi Manyama at Sat Apr 30 08:09:57 EDT 2022

STATUS

editing

proposed

#13 by Seiichi Manyama at Sat Apr 30 07:49:51 EDT 2022

LINKS

Seiichi Manyama, <a href="/A193288/b193288.txt">Table of n, a(n) for n = 0..412</a>

#12 by Seiichi Manyama at Sat Apr 30 07:21:08 EDT 2022

EXAMPLE

a(0) = 1; a(n) = (n-1)! * Sum_{k=1..n}　k * 3^floor(k/2)/floor((k+1)/2) * a(n-k)/(n-k)!. - Seiichi Manyama, Apr 30 2022

#11 by Seiichi Manyama at Sat Apr 30 07:14:34 EDT 2022

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!*sum(j=1, i, j*3^(j\2)/((j+1)\2)*v[i-j+1]/(i-j)!)); v; \\ Seiichi Manyama, Apr 30 2022

STATUS

approved

editing

#10 by T. D. Noe at Tue Jun 25 11:56:14 EDT 2013

STATUS

proposed

approved