The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A373175

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A373175

Expansion of e.g.f. exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2.
(history; published version)

#11 by N. J. A. Sloane at Mon May 27 15:48:45 EDT 2024

STATUS

reviewed

approved

#10 by Stefano Spezia at Mon May 27 07:18:21 EDT 2024

STATUS

proposed

reviewed

#9 by Michel Marcus at Mon May 27 06:00:58 EDT 2024

STATUS

editing

proposed

#8 by Michel Marcus at Mon May 27 06:00:55 EDT 2024

PROG

(PARI) my(x = 'x+O('x^30)); Vec(serlaplace(exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2)) \\ Michel Marcus, May 27 2024

STATUS

proposed

editing

#7 by Stefano Spezia at Mon May 27 00:14:10 EDT 2024

STATUS

editing

proposed

#6 by Stefano Spezia at Mon May 27 00:14:02 EDT 2024

CROSSREFS

Cf. A000806, A330797, A373176.

STATUS

approved

editing

#5 by Alois P. Heinz at Sun May 26 18:43:15 EDT 2024

STATUS

proposed

approved

#4 by Stefano Spezia at Sun May 26 16:29:58 EDT 2024

STATUS

editing

proposed

#3 by Stefano Spezia at Sun May 26 16:24:32 EDT 2024

CROSSREFS

Cf. A000806, A330797.

#2 by Stefano Spezia at Sun May 26 16:16:08 EDT 2024

NAME

allocated for Stefano Spezia

Expansion of e.g.f. exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2.

DATA

1, 3, 8, 25, 87, 386, 1663, 11313, 39560, 717067, -2408199, 128675438, -2009225567, 53624676795, -1282589050168, 35660396328721, -1032462831852297, 32302377782200418, -1070227545188815745, 37651172275242136857, -1398665563931458389304, 54757245858874447661683

OFFSET

0,2

LINKS

Y. Alp and E. G. Kocer, <a href="https://doi.org/10.1007/s00025-024-02193-5">Exponential Almost-Riordan Arrays</a>, Results Math 79, 173 (2024). See page 24.

MATHEMATICA

a[n_]:=n!SeriesCoefficient[Exp[Sqrt[2x+1]-1]/(2-Sqrt[2x+1])^2, {x, 0, n}]; Array[a, 22, 0]

CROSSREFS

Cf. A000806.

KEYWORD

allocated

sign

AUTHOR

Stefano Spezia, May 26 2024

STATUS

approved

editing