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!)
 A304944 a(0) = 0, a(1) = 1 and a(n) = 6*a(n-1)/(n-1) + 16*a(n-2) for n > 1. 2
 0, 1, 6, 34, 164, 790, 3572, 16212, 71048, 312678, 1345220, 5809980, 24692600, 105305980, 443684360, 1875046120, 7848968208, 32944100998, 137210821092, 572842556332, 2376270786840, 9878362137364, 40842721771544, 169192718317336, 697620779210096 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Let a(0) = 0, a(1) = 1 and a(n) = 2*m*a(n-1)/(n-1) + k^2*a(n-2) for n > 1. Then G.f. is x/(2*m) * d/dx ((1 + k*x)/(1 - k*x))^(m/k). LINKS Seiichi Manyama, Table of n, a(n) for n = 0..1000 FORMULA a(n) = n*A304941(n)/6. G.f.: x/(1-4*x)^2 * ((1-4*x)/(1+4*x))^(1/4). CROSSREFS Cf. A304933, A304941. Sequence in context: A086934 A009469 A222190 * A266359 A198765 A274405 Adjacent sequences:  A304941 A304942 A304943 * A304945 A304946 A304947 KEYWORD nonn AUTHOR Seiichi Manyama, May 22 2018 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 August 13 06:22 EDT 2020. Contains 336442 sequences. (Running on oeis4.)