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

 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 12 01:49 EDT 2024. Contains 375842 sequences. (Running on oeis4.)