A021013 - OEIS

A021013

Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.

7, 11, 17, 26, 40, 62, 96, 149, 231, 358, 555, 860, 1333, 2066, 3202, 4963, 7692, 11922, 18478, 28639, 44388, 68798, 106632, 165272, 256160, 397030, 615369, 953779, 1478291, 2291248, 3551275, 5504229, 8531172, 13222723, 20494301

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OFFSET

0,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for Pisot sequences

MATHEMATICA

nxt[{a_, b_}]:={b, Round[b^2/a]}; Transpose[NestList[nxt, {7, 11}, 40]][[1]] (* Harvey P. Dale, Dec 17 2013 *)

CROSSREFS

Cf. A021014.

Sequence in context: A257666 A224868 A021014 * A156105 A062574 A063912

Adjacent sequences: A021010 A021011 A021012 * A021014 A021015 A021016

KEYWORD

nonn

AUTHOR

R. K. Guy

STATUS

approved