A094557 - OEIS

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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.

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; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`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 * A026307 A139816 A083303` `Adjacent sequences: A094554 A094555 A094556 * A094558 A094559 A094560`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), May 11 2004`

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.