0,2

a(n) = numer(((3+8*n+4*n^2)/3)*binomial(2*n,n)/(4^n))

Cf. A001790 [(1-x)^(-1/2)], A001803 [(1-x)^(-3/2)] and A161201 [(1-x)^(-7/2)].

Cf. A161200 Numerators in expansion of (1-x)^(3/2).

A161198 triangle related to the series expansions of (1-x)^((-1-2*n)/2) for all values of n.

A046161 gives the denominators of the series expansions of (1-x)^(-5/2).

Sequence in context: A153785 A090294 A162540 this_sequence A111877 A053126 A096743

Adjacent sequences: A161196 A161197 A161198 this_sequence A161200 A161201 A161202

easy,nonn

Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 2009