A134183 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A134183

A Hankel transform of a Catalan product.

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).

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