A010923 Shallit sequence S(14,23), a(n)=[ a(n-1)^2/a(n-2)+1 ].

14, 23, 38, 63, 105, 176, 296, 498, 838, 1411, 2376, 4001, 6738, 11348, 19113, 32192, 54221, 91325, 153820, 259082, 436377, 734999, 1237975, 2085149, 3512064, 5915450, 9963529, 16781802, 28265977, 47609039

Offset

0,1

Links

Harvey P. Dale, 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

RecurrenceTable[{a[0]==14, a[1]==23, a[n]==Floor[a[n-1]^2/a[n-2]+1]}, a, {n, 30}] (* Harvey P. Dale, Jun 28 2015 *)

Crossrefs

Cf. A010922.

Sequence in context: A316735 A010922 A010902 * A015850 A020905 A048635

Adjacent sequences: A010920 A010921 A010922 * A010924 A010925 A010926

Keyword

nonn

Author

Simon Plouffe

Status

approved