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A048580 Pisot sequence L(3,10). 3
3, 10, 34, 116, 396, 1352, 4616, 15760, 53808, 183712, 627232, 2141504, 7311552, 24963200, 85229696, 290992384, 993510144, 3392055808, 11581202944, 39540700160, 135000394752, 460920178688, 1573679925248, 5372879343616, 18344157523968, 62630871408640 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..25.

FORMULA

a(n) = 4a(n-1) - 2a(n-2) (holds at least up to n = 1000).

Empirical G.f.: (3-2*x)/(1-4*x+2*x^2). [Colin Barker, Feb 21 2012]

CROSSREFS

Subsequence of A007052. See A008776 for definitions of Pisot sequences.

Sequence in context: A083580 A113300 A007052 * A059738 A094832 A217778

Adjacent sequences:  A048577 A048578 A048579 * A048581 A048582 A048583

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified May 18 16:23 EDT 2013. Contains 225422 sequences.