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A034695 Dirichlet convolution of number-of-divisors function (A000005) with A007426. +0
14
1, 6, 6, 21, 6, 36, 6, 56, 21, 36, 6, 126, 6, 36, 36, 126, 6, 126, 6, 126, 36, 36, 6, 336, 21, 36, 56, 126, 6, 216, 6, 252, 36, 36, 36, 441, 6, 36, 36, 336, 6, 216, 6, 126, 126, 36, 6, 756, 21, 126, 36, 126, 6, 336, 36, 336, 36, 36, 6, 756, 6, 36, 126, 462, 36, 216, 6, 126 (list; graph; listen)
OFFSET

1,2

FORMULA

Dirichlet g.f.: zeta^6(x)

Multiplicative with a(p^e) = (e+5 choose e). Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.

MATHEMATICA

tau[n_, 1] = 1; tau[n_, k_] := tau[n, k] = Plus @@ (tau[ #, k - 1] & /@ Divisors[n]); Table[ tau[n, 6], {n, 68}] (* Robert G. Wilson v *)

CROSSREFS

Sequence in context: A045896 A115046 A004983 this_sequence A053168 A141388 A087236

Adjacent sequences: A034692 A034693 A034694 this_sequence A034696 A034697 A034698

KEYWORD

nonn,mult

AUTHOR

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

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 02 2005

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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