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A001039 a(n) = (p^p-1)/(p-1) where p = prime(n).
(Formerly M2964 N1199)
+0
3
3, 13, 781, 137257, 28531167061, 25239592216021, 51702516367896047761, 109912203092239643840221, 949112181811268728834319677753, 91703076898614683377208150526107718802981 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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 (njas(AT)research.att.com), Feb 07 2009]

T. S. Motzkin, Sorting numbers ...: for a link to 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.

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

LINKS

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

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}]

CROSSREFS

Cf. A054767.

Sequence in context: A066266 A092845 A089711 this_sequence A065831 A092540 A118628

Adjacent sequences: A001036 A001037 A001038 this_sequence A001040 A001041 A001042

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 10 2000

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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