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A014009 First differences of Shallit sequence S(3,7) (A020730). 2
3, 4, 10, 25, 62, 154, 383, 952, 2366, 5881, 14618, 36335, 90315, 224489, 557995, 1386965, 3447471, 8569111, 21299574, 52942697, 131595551, 327096843, 813039224, 2020908468, 5023215259, 12485816125, 31035023639, 77141348442, 191744259926, 476603818278 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.

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.

Jeffrey Shallit, Problem B-686, Fib. Quart., 29 (1991), 85.

MATHEMATICA

Prepend[Differences@ #, First@ #] &@ RecurrenceTable[{a[n] == Floor[a[n - 1]^2/a[n - 2] + 1], a[0] == 3, a[1] == 7}, a, {n, 0, 29}] (* Michael De Vlieger, Aug 10 2016 *)

CROSSREFS

Cf. A020730, A008776.

Sequence in context: A103038 A143108 A169790 * A274220 A299881 A218293

Adjacent sequences:  A014006 A014007 A014008 * A014010 A014011 A014012

KEYWORD

nonn

AUTHOR

Simon Plouffe

EXTENSIONS

Definition clarified by N. J. A. Sloane, Aug 10 2016

STATUS

approved

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Last modified August 19 08:50 EDT 2019. Contains 326119 sequences. (Running on oeis4.)