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A054767 Period of the sequence of Bell numbers A000110 (mod n). +0
2
1, 3, 13, 12, 781, 39, 137257, 24, 39, 2343, 28531167061, 156, 25239592216021, 411771, 10153, 48, 51702516367896047761, 117, 109912203092239643840221, 9372, 1784341, 85593501183 (list; graph; listen)
OFFSET

1,2

COMMENT

For p prime, a(p) divides (p^p-1)/(p-1) = A023037(p), with equality at least for p up to 19.

REFERENCES

J. Levine and R. E. Dalton, Minimum Periods, Modulo p, of First Order Bell Exponential Integrals, Mathematics of Computation, 16 (1962), 416-423.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

If gcd(n,m) = 1, a(n*m) = lcm(a(n), a(m)). But the sequence is not in general multiplicative; e.g. a(2) = 3, a(9) = 39, and a(18) = 39. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 06 2006

CROSSREFS

Cf. A000110, A023037.

Sequence in context: A066674 A121565 A107733 this_sequence A137947 A076747 A043055

Adjacent sequences: A054764 A054765 A054766 this_sequence A054768 A054769 A054770

KEYWORD

nonn,hard,more,nice

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Feb 09, 2002

EXTENSIONS

More information from Phil Carmody (pc+oeis(AT)asdf.org), Dec 22 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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