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A069095 Jordan function J_10(n). +0
1
1, 1023, 59048, 1047552, 9765624, 60406104, 282475248, 1072693248, 3486725352, 9990233352, 25937424600, 61855850496, 137858491848, 288972178704, 576640565952, 1098437885952, 2015993900448, 3566920035096, 6131066257800 (list; graph; listen)
OFFSET

1,2

REFERENCES

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

FORMULA

a(n)=sum(d|n, d^10*mu(n/d))

Multiplicative with a(p^e) = p^(10e)-p^(10(e-1)).

PROGRAM

(PARI) for(n=1, 100, print1(sumdiv(n, d, d^10*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: A075951 A075947 A022526 this_sequence A024008 A123867 A022192

Adjacent sequences: A069092 A069093 A069094 this_sequence A069096 A069097 A069098

KEYWORD

easy,nonn,mult

AUTHOR

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

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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