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A069094 Jordan function J_9(n). +0
1
1, 511, 19682, 261632, 1953124, 10057502, 40353606, 133955584, 387400806, 998046364, 2357947690, 5149441024, 10604499372, 20620692666, 38441386568, 68585259008, 118587876496, 197961811866, 322687697778, 510999738368 (list; graph; listen)
OFFSET

1,2

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 199, #3.

FORMULA

a(n)=sum(d|n, d^9*mu(n/d))

Multiplicative with a(p^e) = p^(9e)-p^(9(e-1)).

PROGRAM

(PARI) for(n=1, 100, print1(sumdiv(n, d, d^9*moebius(n/d)), ", "))

CROSSREFS

Cf. A059379 and A059380 (triangle of values of J_k(n)), A000010 (J_1), A059376 (J_3), A059377 (J_4), A059378 (J_5).

Sequence in context: A075943 A075944 A022525 this_sequence A024007 A022191 A069384

Adjacent sequences: A069091 A069092 A069093 this_sequence A069095 A069096 A069097

KEYWORD

easy,nonn,mult

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 05 2002

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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