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A099045 (3*0^n+4^n*binomial(2n,n))/4. 2
1, 2, 24, 320, 4480, 64512, 946176, 14057472, 210862080, 3186360320, 48432676864, 739699064832, 11342052327424, 174493112729600, 2692179453542400, 41639042214789120, 645405154329231360, 10022762396642181120 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

(1+(k-1)sqrt(1-4kx))/(k*sqrt(1-4kx)) is the g.f. for ((k-1)0^n+k^n*C(2n,n))/k.

FORMULA

G.f.: (1+3sqrt(1-16x))/(4sqrt(1-16x))

CROSSREFS

Cf. A069723, A088218, A099044, A099046.

Sequence in context: A065513 A119491 A001864 * A181174 A081065 A043699

Adjacent sequences:  A099042 A099043 A099044 * A099046 A099047 A099048

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 24 2004

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Last modified February 13 18:00 EST 2012. Contains 205531 sequences.