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A019475 Define the sequence S(a(0),a(1)) by a(n+2) is the least integer such that a(n+2)/a(n+1) > a(n+1)/a(n) for n >= 0. This is S(2,10). 1
2, 10, 51, 261, 1336, 6839, 35009, 179212, 917391, 4696149, 24039712, 123059927, 629947050, 3224715759, 16507406022, 84501851928, 432567234958, 2214323218841, 11335179646638, 58025087091309, 297031969224468, 1520514576781740, 7783554693597965 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

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, [2, 10][n+1], floor(a(n-1)^2/a(n-2))+1)

    end:

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

PROG

(PARI) S(a0, a1, maxn) = a=vector(maxn); a[1]=a0; a[2]=a1; for(n=3, maxn, a[n]=a[n-1]^2\a[n-2]+1); a

S(2, 10, 40) \\ Colin Barker, Feb 16 2016

CROSSREFS

Sequence in context: A037514 A037717 A019476 * A020042 A307208 A075436

Adjacent sequences:  A019472 A019473 A019474 * A019476 A019477 A019478

KEYWORD

nonn

AUTHOR

R. K. Guy

EXTENSIONS

Incorrect g.f. deleted by Alois P. Heinz, Sep 18 2015

STATUS

approved

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Last modified October 18 15:41 EDT 2019. Contains 328162 sequences. (Running on oeis4.)