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A001039 a(n) = (p^p-1)/(p-1) where p = prime(n).
(Formerly M2964 N1199)
7
3, 13, 781, 137257, 28531167061, 25239592216021, 51702516367896047761, 109912203092239643840221, 949112181811268728834319677753, 91703076898614683377208150526107718802981 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

W. F. Lunnon et al., Arithmetic properties of Bell numbers to a composite modulus I, Acta Arith., 35 (1979), 1-16. [From N. J. A. Sloane, Feb 07 2009]

T. S. Motzkin, Sorting numbers ...: for a link to an annotated scanned version of this paper see A000262.

T. S. Motzkin, Sorting numbers for cylinders and other classification numbers, in Combinatorics, Proc. Symp. Pure Math. 19, AMS, 1971, pp. 167-176.

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).

LINKS

T. D. Noe, Table of n, a(n) for n=1..26

J. Levine and R. E. Dalton, Minimum periods, modulo p, of first-order Bell exponential integers, Math. Comp., 16 (1962), 416-423.

P. L. Montgomery, S. Nahm, S. S. Wagstaff Jr, The period of the Bell numbers modulo a prime, Math. Comp. 79 (2010) 1793-1800

MAPLE

for i from 1 to 20 do printf(`%d, `, (ithprime(i)^ithprime(i) -1)/(ithprime(i)-1)) od:

MATHEMATICA

Table[(Prime[n]^Prime[n] - 1)/(Prime[n] - 1), {n, 1, 10}]

(#^#-1)/(#-1)&/@Prime[Range[10]] (* Harvey P. Dale, Apr 09 2016 *)

CROSSREFS

Cf. A054767, A214811.

Sequence in context: A290376 A089711 A173759 * A065831 A092540 A073428

Adjacent sequences:  A001036 A001037 A001038 * A001040 A001041 A001042

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from James A. Sellers, Jul 10 2000

STATUS

approved

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Last modified February 19 21:59 EST 2019. Contains 320328 sequences. (Running on oeis4.)