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A022034 Define the sequence T(a_0,a_1) by: a_{n+2} is the greatest integer such that a_{n+2}/a_{n+1} < a_{n+1}/a_n for n >= 0. This is T(6,31). 1
6, 31, 160, 825, 4253, 21924, 113017, 582596, 3003248, 15481566, 79806558, 411398091, 2120732851, 10932252540, 56355115894, 290507292601, 1497547928268, 7719771085196, 39794963809107, 205140687086569, 1057488120864155, 5451288779669969, 28101071561042234 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1402

D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993;.

MAPLE

a:= proc(n) option remember;

      `if`(n<2, [6, 31][n+1], ceil(a(n-1)^2/a(n-2))-1)

    end:

seq(a(n), n=0..30);  # Alois P. Heinz, Sep 18 2015

CROSSREFS

Sequence in context: A065096 A077352 A038223 * A047665 A003128 A058146

Adjacent sequences:  A022031 A022032 A022033 * A022035 A022036 A022037

KEYWORD

nonn

AUTHOR

R. K. Guy

EXTENSIONS

Incorrect formulas deleted by Alois P. Heinz, Sep 18 2015

STATUS

approved

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Last modified February 12 15:41 EST 2016. Contains 268226 sequences.