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A194532 Jordan function ratio J_6(n)/J_2(n). 0
1, 21, 91, 336, 651, 1911, 2451, 5376, 7371, 13671, 14763, 30576, 28731, 51471, 59241, 86016, 83811, 154791, 130683, 218736, 223041, 310023, 280371, 489216, 406875, 603351, 597051, 823536, 708123, 1244061, 924483, 1376256, 1343433, 1760031, 1595601, 2476656, 1875531, 2744343 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

Dirichlet convolution of A000583 with the multiplicative function which starts 1, 5, 10, 0, 26, 50, 50, 0, 0, 130, 122, 0, 170, 250, 260, 0, 290,..

LINKS

Table of n, a(n) for n=1..38.

FORMULA

a(n) = A069091(n)/A007434(n).

Dirichlet generating function zeta(s-4)*product_{primes p} (1+p^(2-s)+p^(-s)).

CROSSREFS

Cf. A065959.

Sequence in context: A020248 A225705 A203173 * A065827 A143843 A119109

Adjacent sequences:  A194529 A194530 A194531 * A194533 A194534 A194535

KEYWORD

nonn,mult,easy

AUTHOR

R. J. Mathar, Aug 28 2011

STATUS

approved

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Last modified November 27 00:18 EST 2014. Contains 250152 sequences.