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A081860 a(n)=sum(k=0,n-1, sigma(2k+1)*sigma_3(n-k)). 0
1, 13, 70, 247, 671, 1547, 3178, 5916, 10317, 17088, 26818, 40703, 60034, 85463, 119288, 163736, 218924, 288933, 377482, 482734, 612535, 772291, 955604, 1177050, 1443522, 1742481, 2097702, 2517368, 2978851, 3519151, 4152486, 4836104 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

An amazing Ramanujan identity. Here sigma_m(n) denotes sum( d dividing n, d^m)

REFERENCES

Bruce Berndt, Ramanujan's Notebooks Part II, Springer-Verlag; page 301.

FORMULA

a(n) = 1/240*(sigma_5(2n+1)-sigma(2n+1))

CROSSREFS

Cf. A000203, A001158, A001160.

Sequence in context: A146469 A146381 A085461 * A050403 A031442 A066831

Adjacent sequences:  A081857 A081858 A081859 * A081861 A081862 A081863

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 11 2003

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Last modified February 16 20:59 EST 2012. Contains 205968 sequences.