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A073245 Sum of all cube-free numbers with the same square-free kernel as the n-th square-free number. +0
3
1, 6, 12, 30, 72, 56, 180, 132, 182, 336, 360, 306, 380, 672, 792, 552, 1092, 870, 2160, 992, 1584, 1836, 1680, 1406, 2280, 2184, 1722, 4032, 1892, 3312, 2256, 3672, 2862, 3960, 4560, 5220, 3540, 3782, 5952, 5460, 9504, 4556, 6624, 10080, 5112, 5402 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = A062822(n)*A005117(n).

EXAMPLE

14 is the 10th square-free number: A005117(10)=14=2*7, the cube-free numbers with square-free kernel =14 are 14, 28=2*2*7, 98=2*7*7 and 196=2*2*7*7; therefore a(10)=14+28+98+196=336; a(10)=A062822(10)*A005117(10)=24*14=336.

CROSSREFS

Cf. A004709, A005117, A007947, A072048.

Sequence in context: A014131 A122211 A015801 this_sequence A119626 A152522 A096356

Adjacent sequences: A073242 A073243 A073244 this_sequence A073246 A073247 A073248

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 21 2002

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Last modified November 27 14:30 EST 2009. Contains 167569 sequences.


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