The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A292871

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A292871

a(n) = [x^n] (1/(1 - x - x^2/(1 - 2*x - 2*x^2/(1 - 3*x - 3*x^2/(1 - 4*x - 4*x^2/(1 - ...))))))^n.
(history; published version)

#12 by Alois P. Heinz at Tue Feb 12 12:06:45 EST 2019

STATUS

editing

approved

#11 by Alois P. Heinz at Tue Feb 12 11:55:16 EST 2019

COMMENTS

a(n) is the n-th term of the n-fold convolution of Bell numbers with themselves. - Alois P. Heinz, Feb 12 2019

STATUS

approved

editing

#10 by Alois P. Heinz at Thu May 31 19:54:35 EDT 2018

STATUS

editing

approved

#9 by Alois P. Heinz at Thu May 31 19:51:20 EDT 2018

FORMULA

a(n) = A205574(n,2n,n).

#8 by Alois P. Heinz at Thu May 31 19:50:58 EDT 2018

FORMULA

a(n) = A205574(n,n).

CROSSREFS

Cf. A000110, A205574.

STATUS

approved

editing

#7 by Alois P. Heinz at Thu May 31 19:38:25 EDT 2018

STATUS

editing

approved

#6 by Alois P. Heinz at Thu May 31 19:38:23 EDT 2018

LINKS

Alois P. Heinz, <a href="/A292871/b292871.txt">Table of n, a(n) for n = 0..573</a>

#5 by Alois P. Heinz at Thu May 31 19:37:21 EDT 2018

MAPLE

b:= proc(n, k) option remember; `if`(n=0, 1, `if`(k=0, 0,

`if`(k=1, add(b(n-j, k)*binomial(n-1, j-1), j=1..n),

(h-> add(b(j, h)*b(n-j, k-h), j=0..n))(iquo(k, 2)))))

end:

a:= n-> b(n$2):

seq(a(n), n=0..25); # Alois P. Heinz, May 31 2018

STATUS

approved

editing

#4 by Susanna Cuyler at Mon Sep 25 13:08:51 EDT 2017

STATUS

proposed

approved

#3 by Ilya Gutkovskiy at Mon Sep 25 12:41:13 EDT 2017

STATUS

editing

proposed