

A309867


Expansion of Product_{k>0} (1+sqrt(14*x^k))/2.


1



1, 1, 2, 2, 5, 9, 36, 104, 365, 1219, 4213, 14617, 51570, 183084, 656536, 2370066, 8613590, 31478538, 115632718, 426676244, 1580878746, 5878933054, 21936060630, 82100980070, 308146839623, 1159545407027, 4373730398473, 16533813947503
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OFFSET

0,3


LINKS

Table of n, a(n) for n=0..27.


PROG

(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1+sqrt(14*x^k))/2))
(PARI) N=66; x='x+O('x^N); Vec(prod(i=1, N, 1sum(j=1, N\i, binomial(2*j2, j1)*x^(i*j)/j)))


CROSSREFS

Convolution inverse of A322204.
Cf. A115140, A327682, A327683.
Sequence in context: A003228 A184713 A110182 * A304584 A193899 A208567
Adjacent sequences: A309864 A309865 A309866 * A309868 A309869 A309870


KEYWORD

sign


AUTHOR

Seiichi Manyama, Sep 22 2019


STATUS

approved



