A373175 Expansion of e.g.f. exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^2.

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

Table of n, a(n) for n=0..21.

Y. Alp and E. G. Kocer, Exponential Almost-Riordan Arrays, 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]

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

Crossrefs

Cf. A000806, A330797, A373176.

Sequence in context: A148799 A148800 A244278 * A190343 A185043 A033483

Adjacent sequences: A373172 A373173 A373174 * A373176 A373177 A373178

Keyword

sign

Author

Stefano Spezia, May 26 2024

Status

approved