login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A038836 Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients). 3
1, 12, 95, 624, 3682, 20264, 106203, 536840, 2639230, 12692360, 59957846, 279081152, 1282981380, 5835994768, 26305678739, 117635236344, 522394992358, 2305593653960, 10120007354562, 44201842781536, 192208416186716 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Convolution of A038806(n+1), n >= 0, with A000984 (central binomial coefficients); also convolution of A029760 with A000302 (powers of 4).

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = binomial(n+5, 2)*binomial(2*(n+3), n+2)/6 - (n+3)*2^(2*n+3); G.f. c(x)^2/(1-4*x)^(5/2), where c(x) = g.f. for Catalan numbers A000108;

CROSSREFS

Cf. A000108, A002802, A000302, A000984, A029760, A038806.

Sequence in context: A045829 A220683 A009647 * A026860 A021074 A027250

Adjacent sequences:  A038833 A038834 A038835 * A038837 A038838 A038839

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 11 07:31 EST 2019. Contains 329914 sequences. (Running on oeis4.)