OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..465
FORMULA
E.g.f.: exp(x)*sqrt(BesselI_0(2*x)).
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, (
binomial(2*n, n)-add(a(k)*a(n-k)*
binomial(n, k), k=1..n-1))/2)
end:
seq(a(n), n=0..25); # Alois P. Heinz, Oct 12 2016
MATHEMATICA
Table[SeriesCoefficient[Exp[x] Sqrt[BesselI[0, 2 x]], {x, 0, n}] n!, {n, 0, 25}]
PROG
(PARI) x = 'x + O('x^30); serlaplace(exp(x)*sqrt(besseli(0, 2*x))) \\ Michel Marcus, Oct 09 2016
CROSSREFS
KEYWORD
sign
AUTHOR
Vladimir Reshetnikov, Oct 09 2016
STATUS
approved