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A071744
Expansion of (1+x^4*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.
0
1, 3, 9, 28, 91, 301, 1015, 3480, 12099, 42562, 151228, 541960, 1956734, 7110845, 25989701, 95475760, 352339875, 1305592470, 4855786680, 18120495720, 67828282410, 254606644050, 958182559854, 3614592283728, 13665501157070
OFFSET
0,2
MATHEMATICA
With[{c=(1-Sqrt[1-4x])/(2x)}, CoefficientList[Series[(1+x^4*c)c^3, {x, 0, 30}], x]] (* Harvey P. Dale, May 30 2016 *)
CROSSREFS
Sequence in context: A143739 A189940 A047047 * A071748 A071752 A071756
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jun 06 2002
STATUS
approved