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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

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Last modified August 13 06:22 EDT 2020. Contains 336442 sequences. (Running on oeis4.)