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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
OFFSET
0,1
LINKS
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
Sequence in context: A103038 A143108 A169790 * A274220 A299881 A218293
KEYWORD
nonn
AUTHOR
EXTENSIONS
Definition clarified by N. J. A. Sloane, Aug 10 2016
STATUS
approved