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A084203 G.f. A(x) defined by: A(x)^3 consists entirely of integer coefficients between 1 and 3 (A083953); A(x) is the unique power series solution with A(0)=1. +0
5
1, 1, 0, 0, 1, -1, 2, -2, 2, 0, -4, 12, -24, 38, -46, 33, 29, -176, 443, -827, 1222, -1310, 433, 2488, -8814, 19528, -33599, 44928, -37805, -17916, 168049, -463252, 921694, -1446018, 1679053, -808620, -2598482, 10515127, -24690122, 44515322, -62719429, 58496244, 10670109, -213311788, 632128236 (list; graph; listen)
OFFSET

0,7

COMMENT

Does limit_{n ->infinity} a(n)/a(n+1) exist?

LINKS

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

CROSSREFS

Cf. A083953, A084202, A084204-A084212.

Sequence in context: A125938 A158851 A151930 this_sequence A073358 A124342 A082835

Adjacent sequences: A084200 A084201 A084202 this_sequence A084204 A084205 A084206

KEYWORD

sign

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), May 19 2003

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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