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Search: id:A078307
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A078307 a(n) = Sum_{d divides n} (-1)^(n/d+1)*d^3. +0
2
1, 7, 28, 55, 126, 196, 344, 439, 757, 882, 1332, 1540, 2198, 2408, 3528, 3511, 4914, 5299, 6860, 6930, 9632, 9324, 12168, 12292, 15751, 15386, 20440, 18920, 24390, 24696, 29792, 28087, 37296, 34398, 43344, 41635, 50654, 48020, 61544, 55314 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: Sum_{n >= 1} n^3*x^n/(1+x^n). Multiplicative with a(2^e) = (6*8^e+1)/7, a(p^e) = (p^(3*e+3)-1)/(p^3-1), p > 2.

CROSSREFS

Cf. A000593, A078306, A027998.

Sequence in context: A139607 A068206 A118120 this_sequence A045551 A024844 A033582

Adjacent sequences: A078304 A078305 A078306 this_sequence A078308 A078309 A078310

KEYWORD

mult,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 22 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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