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Search: id:A094557
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A094557 a(2n) equals coefficient of x^n in A(x)^(n+1) and a(2n+1) equals coefficient of x^n in A(x)^(n+2), for n>=0. +0
3
1, 1, 2, 3, 9, 14, 40, 65, 210, 339, 1080, 1764, 5775, 9448, 30992, 50931, 168849, 277920, 925240, 1525887, 5106288, 8431260, 28309440, 46796334, 157627548, 260788843, 880639004, 1458096900, 4934715105, 8175734400, 27721876064 (list; graph; listen)
OFFSET

0,3

COMMENT

a(2n) = (n+1)*A094558(n), where A(x) = G094558(x/A(x)).

EXAMPLE

Terms are produced by main and secondary diagonals in the table of

successive self-convolutions of this sequence:

[_1,1,2,3,9,14,40,65,210,339,1080,...]

[_1,_2,5,10,28,58,153,320,875,1850,...]

[1,_3,_9,22,63,153,410,978,2607,6222,...]

[1,4,_14,_40,121,328,918,2392,6504,16708,...]

[1,5,20,_65,_210,621,1830,5110,14395,39085,...]

[1,6,27,98,_339,_1080,3356,9942,29163,83008,...]

[1,7,35,140,518,_1764,_5775,18040,55160,163863,...]

[1,8,44,192,758,2744,_9448,_30992,98729,305240,...]

[1,9,54,255,1071,4104,14832,_50931,_168849,542164,...]

[1,10,65,330,1470,5942,22495,80660,_277920,_925240,...]

CROSSREFS

Cf. A094558.

Sequence in context: A101067 A056645 A047171 this_sequence A026307 A139816 A083303

Adjacent sequences: A094554 A094555 A094556 this_sequence A094558 A094559 A094560

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2004

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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