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A001543
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a(0) = 1, a(n) = 5 + product(i = 0..n - 1) a(i) for n > 0.
(Formerly M4091 N1699)
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3
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OFFSET
| 0,2
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COMMENTS
| This is the special case k=5 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. - Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 04 2005
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REFERENCES
| S. W. Golomb, On certain nonlinear recurring sequences, Amer. Math. Monthly 70 (1963), 403-405.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fib. Quart., 11 (1973), 429-437.
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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FORMULA
| a(n) = a(n-1) * (a(n-1) - 5) + 5. [Charles R Greathouse IV, Dec 09 2011]
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PROG
| (PARI) {
print1("1, 6");
n=6;
m=Mod(5, 6);
for(i=2, 9,
n=m.mod+lift(m);
m=chinese(m, Mod(5, n));
print1(", "n)
)
} \\ Charles R Greathouse IV, Dec 09 2011
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CROSSREFS
| Sequence in context: A061519 A193664 A080875 * A077705 A077697 A013321
Adjacent sequences: A001540 A001541 A001542 * A001544 A001545 A001546
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| New name from Alonso del Arte, Dec 09 2011.
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