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A124564 Row 4 of table A124560; also, the self-convolution 4-th power equals A124554, which is row 4 of table A124550. +0
7
1, 1, 5, 35, 317, 3634, 52199, 928608, 20282765, 543008771, 17866390922, 725141498506, 36439677332431, 2274854774699772, 176901777097180896, 17172973623970540220, 2084722855480792814909, 316912193519759976734613 (list; graph; listen)
OFFSET

0,3

COMMENT

In table A124560, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k * [R_{n*k}(y)]^(n*k) for n>=0.

FORMULA

G.f.: A(x) = Sum_{k>=0} y^k * [R_{4k}(y)]^(4k), where R_n(x) is the g.f. of row n in table A124560.

CROSSREFS

Cf. A124560 (table); other rows: A124551, A124562, A124563, A124565, A124566.

Sequence in context: A000357 A051577 A102147 this_sequence A113342 A125864 A059865

Adjacent sequences: A124561 A124562 A124563 this_sequence A124565 A124566 A124567

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 07 2006

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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