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A110368
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Integers with mutual residues of 9.
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0
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10, 19, 199, 37819, 1156948199, 1654362331095061619, 2736914722546286269314723509551346599, 7490702198490615150126275937342974843521061335534838392096463268266747419
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This is the special case k=9 of sequences with exact mutual k-residues. In general, a(1)=k+1 and a(n)=min{m | m>a(n-1), mod(m,a(i))=k, i=1,...,n-1}. k=1 gives Sylvester's sequence A000058 and k=2 Fermat sequence A000215.
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REFERENCES
| S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.
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LINKS
| A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fib. Quart., 11 (1973), 429-437.
Stanislav Drastich, Rapid growth sequences (2002).
S. Mustonen, On integer sequences with mutual k-residues
Index entries for sequences of form a(n+1)=a(n)^2 + ....
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CROSSREFS
| Sequence in context: A073222 A110463 A121725 * A006050 A045646 A023916
Adjacent sequences: A110365 A110366 A110367 * A110369 A110370 A110371
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KEYWORD
| nonn
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AUTHOR
| Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 04 2005
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