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A037092 Number of triples {i,j,k}, i>1, j>1, k>1, such that ijk < n^3. +0
3
0, 7, 35, 104, 238, 482, 851, 1402, 2147, 3179, 4497, 6210, 8324, 10921, 14048, 17759, 22146, 27247, 33158, 39953, 47652, 56372, 66135, 77187, 89351, 102902, 117801, 134252, 152148, 171853, 193328, 216471, 241557, 268780, 298017, 329515 (list; graph; listen)
OFFSET

2,2

FORMULA

sum(sum(floor((n^3-1)/(ij))-j+1, j=i..floor(sqrt((n^3-1)/i))), i=2..n-1)

EXAMPLE

f(3)=7 because the only triples ijk < 27 are (2,2,2) (2,2,3) (2,2,4) (2,2,5) (2,2,6) (2,3,3) (2,3,4)

CROSSREFS

Cf. A037048.

Sequence in context: A077536 A152744 A130884 this_sequence A015667 A124090 A059595

Adjacent sequences: A037089 A037090 A037091 this_sequence A037093 A037094 A037095

KEYWORD

nonn

AUTHOR

Joe K. Crump (joecr(AT)carolina.rr.com)

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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