The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A045724 Convolution of Catalan numbers A000108 with A020918. 4
 1, 15, 142, 1083, 7266, 44758, 259356, 1435347, 7663898, 39761282, 201483204, 1001098462, 4891910100, 23565178380, 112118316088, 527674017411, 2459747256138, 11368724035210, 52145629874100, 237541552456362 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also convolution of A001700 with A038845; also convolution of A029887 with A000302 (powers of 4); also convolution of A042941 with A000984 (central binomial coefficients). LINKS FORMULA a(n) = binomial(n+4, 3)*A000984(n+4)/(2*A000984(3)) - (n+3)*(n+2)*4^n, A000984(n)=binomial(2*n, n); G.f. c(x)/(1-4*x)^(7/2) = (2-c(x))/(1-4*x)^4, where c(x) = g.f. for Catalan numbers. CROSSREFS Sequence in context: A026859 A096046 A093117 * A241402 A252825 A279921 Adjacent sequences:  A045721 A045722 A045723 * A045725 A045726 A045727 KEYWORD easy,nonn AUTHOR 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.

Last modified September 19 15:09 EDT 2020. Contains 337178 sequences. (Running on oeis4.)