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A113241 Sum{k=1..n, tau(2k)-1}. +0
1
0, 1, 3, 6, 9, 12, 17, 20, 24, 29, 34, 37, 44, 47, 52, 59, 64, 67, 75, 78, 85, 92, 97, 100, 109, 114, 119, 126, 133, 136, 147, 150, 156, 163, 168, 175, 186, 189, 194, 201, 210, 213, 224, 227, 234, 245, 250, 253, 264, 269, 277, 284, 291, 294, 305, 312, 321, 328 (list; graph; listen)
OFFSET

0,3

COMMENT

Partial sums of A066660.

FORMULA

G.f.: (1/(1-x)) Sum_{k>0} x^k(1-x^(3k))/((1-x^k)(1-x^(2k))); a(n)=sum{k=1..n, tau(2k)}-n.

MATHEMATICA

CoefficientList[ Series[ Sum[x^k(1 - x^(3k))/((1 - x^k)(1 - x^(2k))), {k, 60}], {x, 0, 57}]/(1 - x), x] (* or *)

CROSSREFS

Sequence in context: A130248 A072567 A061796 this_sequence A127621 A049707 A166633

Adjacent sequences: A113238 A113239 A113240 this_sequence A113242 A113243 A113244

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 19 2005

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Oct 21 2005

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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