The On-Line Encyclopedia of Integer Sequences (OEIS)

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A274760

The multinomial transform of A001818(n) = ((2*n-1)!!)^2.
(history; published version)

#17 by R. J. Mathar at Wed Jan 25 06:09:05 EST 2023

STATUS

editing

approved

#16 by R. J. Mathar at Wed Jan 25 06:08:57 EST 2023

CROSSREFS

Cf. A163930, A090998, A008298, A271703, A112302, A135002, A274540.

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approved

editing

#15 by Jon E. Schoenfield at Sun Feb 09 15:44:45 EST 2020

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approved

#14 by Jon E. Schoenfield at Sun Feb 09 15:44:41 EST 2020

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 1995, pp. 18-23.

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approved

editing

#13 by Susanna Cuyler at Fri Nov 17 20:31:10 EST 2017

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proposed

approved

#12 by Jean-François Alcover at Fri Nov 17 11:13:43 EST 2017

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editing

proposed

#11 by Jean-François Alcover at Fri Nov 17 11:13:37 EST 2017

MATHEMATICA

b[n_] := (2*n - 1)!!^2;

a[0] = 1; a[n_] := a[n] = Sum[((n-1)!/(n-k)!)*b[k]*a[n-k], {k, 1, n}];

Table[a[n], {n, 0, 13}] (* Jean-François Alcover, Nov 17 2017 *)

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#10 by N. J. A. Sloane at Mon May 08 00:10:31 EDT 2017

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approved

#9 by N. J. A. Sloane at Mon May 08 00:10:29 EDT 2017

LINKS

M. Bernstein and N. J. A. Sloane, <a href="https://arxiv.org/abs/math/0205301">Some Canonical Sequences of Integers</a> Linear Algebra and its Applications, Vol. 226-228 (1995), pp. 57-72. Erratum 320 (2000), 210. [Link to arXiv version]

M. Bernstein and N. J. A. Sloane, <a href="/A003633/a003633_1.pdf">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]

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approved

editing

#8 by N. J. A. Sloane at Sun May 07 16:19:11 EDT 2017

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editing

approved