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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A192652 Convolution of the Floor-Sqrt transform of Catalan numbers. 0
 1, 2, 3, 6, 11, 22, 44, 86, 169, 332, 652, 1280, 2513, 4932, 9688, 19040, 37439, 73658, 144985, 285530, 562589, 1108994, 2187050, 4314894, 8516372, 16815264, 33213075, 65624052, 129705457, 256441194, 507160201, 1003284894, 1985269126, 3929390078, 7779228124, 15404540776 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..35. FORMULA a(n) = sum(floor(sqrt(binomial(2*k,k)/(k+1)))*floor(sqrt(binomial(2*n-2*k,n-k)/(n-k+1))),k=0..n). MATHEMATICA Table[Sum[Floor[Sqrt[Binomial[2k, k]/(k+1)]]Floor[Sqrt[Binomial[2n-2k, n-k]/(n-k+1)]], {k, 0, n}], {n, 0, 100}] PROG (Maxima) makelist(sum(floor(sqrt(binomial(2*k, k)/(k+1)))*floor(sqrt(binomial(2*n-2*k, n-k)/(n-k+1))), k, 0, n), n, 0, 24); CROSSREFS Sequence in context: A337090 A331993 A027214 * A132831 A354208 A007477 Adjacent sequences: A192649 A192650 A192651 * A192653 A192654 A192655 KEYWORD nonn AUTHOR Emanuele Munarini, Jul 07 2011 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 August 8 02:35 EDT 2024. Contains 375018 sequences. (Running on oeis4.)