Journal of Integer Sequences, Vol. 10 (2007), Article 07.1.8

Sequences of Generalized Happy Numbers with Small Bases

H. G. Grundman
Department of Mathematics
Bryn Mawr College
Bryn Mawr, PA 19010

E. A. Teeple
Department of Biostatistics
University of Washington
Seattle, WA 98195


For bases b ≤ 5 and exponents e ≥ 2, there exist arbitrarily long finite sequences of d-consecutive e-power b-happy numbers for a specific d = d(e,b), which is shown to be minimal possible.

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(Concerned with sequence A000108 .)

Received June 29 2006; revised version received January 8 2007. Published in Journal of Integer Sequences January 8 2007.

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