id:A075820 - OEIS Search Results

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Coefficients of power series generated by the continued fraction-like form: A(x) = 1/(1 - x/sqrt(1 - 4x/cube-root(1 - 9x/4th-root(1 - 16x/5th-root(1 - 25x/... /nth-root(1 - (n^2)x/...)))))), where n-th-root(z)=z^(1/n).

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1, 1, 3, 17, 151, 1901, 31841, 679243, 17873349, 566127595, 21172659297, 920475938637, 45922819496273, 2600893043805459, 165687190863751905, 11778064492639412479, 927828923151187295125, 80505341430961590290171 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`A(x) = 1/f_1(x), where f_1(x)=[1 - x/f_2(x)], [f_2(x)]^2 = [1 - 4x/f_3(x)], [f_3(x)]^3 = [1 - 9x/f_4(x)], ..., [f_n(x)]^n = [1 - (n^2)x/f_{n+1}(x)], n>0.`
	CROSSREFS	`Adjacent sequences: A075817 A075818 A075819 this_sequence A075821 A075822 A075823` `Sequence in context: A009813 A135750 A007767 this_sequence A020562 A135751 A001469`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 14 2002`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

AT&T Labs Research