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A134183 A Hankel transform of a Catalan product. 0
0, 1, 16, 768, 131072, 83886080, 206158430208, 1970324836974592, 73786976294838206464, 10880332376531662572355584, 6338253001141147007483516026880 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

-a(n) is the Hankel transform of A000108(n)*(2^n + 0^n)/2 = A003645(n-1). The Hankel transform of A003645(n) is 4^binomial(n+1, 2).

LINKS

Table of n, a(n) for n=0..10.

FORMULA

a(n) = 4^binomial(n,2)*n*2^(n-1);

a(n) = A053763(n)*A001787(n).

MAPLE

with(finance):seq(futurevalue(n, 1, n^2)/2, n=0..10); # Zerinvary Lajos, Mar 25 2009

CROSSREFS

Sequence in context: A159375 A221527 A129008 * A042109 A221061 A326216

Adjacent sequences:  A134180 A134181 A134182 * A134184 A134185 A134186

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 11 2007

STATUS

approved

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Last modified January 28 04:30 EST 2022. Contains 350654 sequences. (Running on oeis4.)