A373176 Expansion of e.g.f. 2*exp(sqrt(2*x+1)-1)/(2-sqrt(2*x+1))^3.

2, 8, 30, 122, 548, 2802, 15638, 100760, 661242, 5519558, 36021212, 495019758, 944742290, 96695115272, -1151063332242, 46492769525882, -1177828529162332, 39211350154011570, -1272035779868081338, 45289997660347946648, -1679496857400789295638, 65976928289858329056518

Offset

0,1

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[2Exp[Sqrt[2x+1]-1]/(2-Sqrt[2x+1])^3, {x, 0, n}]; Array[a, 22, 0]

Crossrefs

Cf. A000806, A330797, A373175.

Sequence in context: A230588 A151303 A150761 * A150762 A074026 A054663

Adjacent sequences: A373173 A373174 A373175 * A373177 A373178 A373179

Keyword

sign

Author

Stefano Spezia, May 26 2024

Status

approved