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A194533 Jordan function ratio J_8(n)/J_2(n). 0
1, 85, 820, 5440, 16276, 69700, 120100, 348160, 597780, 1383460, 1786324, 4460800, 4855540, 10208500, 13346320, 22282240, 24221380, 50811300, 47176564, 88541440, 98482000, 151837540, 148316260, 285491200, 254312500, 412720900, 435781620, 653344000, 595531444 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Multiplicative with a(p^e) = p^(6*(e-1))*(p^2+1)*(p^4+1), e>0.

LINKS

Table of n, a(n) for n=1..29.

FORMULA

a(n) = A069093(n)/A007434(n) = A065960(n) * A065958(n).

Dirichlet g.f. zeta(s-6)*product_{primes p} (1+p^(4-s)+p^(2-s)+p^(-s)).

Dirichlet convolution of A001014 with the multiplicative sequence 1, 21, 91, 0, 651, 1911, 2451, 0, 0, 13671, 14763, 0, 28731, 51471...

CROSSREFS

Sequence in context: A183777 A173470 A202009 * A069308 A183643 A206163

Adjacent sequences:  A194530 A194531 A194532 * A194534 A194535 A194536

KEYWORD

nonn,mult,easy

AUTHOR

R. J. Mathar, Aug 28 2011

STATUS

approved

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Last modified October 24 08:05 EDT 2014. Contains 248502 sequences.