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A094600 G.f. satisfies: a(2n) equals coefficient of x^n in A(x)^(n+1) and a(2n+1) equals coefficient of x^(n+1) in A(x)^(n+1), for n>=0, with a(0)=1. 2
1, 1, 2, 5, 9, 28, 48, 145, 250, 831, 1404, 4664, 7875, 26748, 44960, 154265, 258777, 896644, 1501060, 5239975, 8758640, 30760060, 51350784, 181258264, 302271736, 1071490551, 1785262500, 6351444132, 10574365725, 37738804488, 62788919872 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

G.f. satisfies: A(x) = A(x*G094601(x)). a(2n) = A094601(n)*(n+1) for n>=0. Sum_{n>=1} a(2n-1)/n*x^n = log(G094601(x)).

EXAMPLE

log(G094601(x)) = log(1+x+3x^2+12x^3+50x^4+...) = (x+5x^2/2+28x^3/3+145x^4/4+...).

Terms are formed from main and adjacent diagonals in the table of

successive self-convolutions of this sequence:

[_1,_1,2,5,9,28,48,145,250,831,1404,4664,...]

[1,_2,_5,14,32,94,213,588,1343,3726,...]

[1,3,_9,_28,75,225,590,1656,4287,11780,...]

[1,4,14,_48,_145,456,1318,3864,10824,30684,...]

[1,5,20,75,_250,_831,2590,7980,23755,70155,...]

[1,6,27,110,399,_1404,_4664,15102,47355,145880,...]

[1,7,35,154,602,2240,_7875,_26748,87892,282093,...]

[1,8,44,208,870,3416,12648,_44960,_154265,514920,...]

[1,9,54,273,1215,5022,19512,72423,_258777,_896644,..]

CROSSREFS

Cf. A094557, A094601.

Sequence in context: A026297 A109742 A072979 * A139796 A086586 A105456

Adjacent sequences:  A094597 A094598 A094599 * A094601 A094602 A094603

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), May 13 2004

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Last modified February 14 11:17 EST 2012. Contains 205623 sequences.