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A114324 Number of partitions of n with a product greater than n. 0
0, 0, 0, 0, 1, 3, 6, 10, 16, 26, 39, 56, 79, 111, 150, 200, 265, 349, 453, 586, 749, 957, 1209, 1522, 1903, 2379, 2950, 3654, 4500, 5534, 6771, 8271, 10063, 12228, 14799, 17884, 21543, 25919, 31087, 37233, 44477, 53063, 63149, 75059, 89014, 105436 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..46.

EXAMPLE

a(6)=3 since there are 3 partitions of 6 with product greater than 6:

{3,3},{2,2,2},{4,2}.

MATHEMATICA

<< DiscreteMath`Combinatorica`; lst=Table[Length@Select[Partitions[n], (Times @@ # > n) &], {n, 50}]

CROSSREFS

Cf. A096276.

Sequence in context: A025004 A145131 A152009 * A054886 A130578 A107068

Adjacent sequences:  A114321 A114322 A114323 * A114325 A114326 A114327

KEYWORD

nonn

AUTHOR

Giovanni Resta, Feb 06 2006

STATUS

approved

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Last modified April 21 08:49 EDT 2014. Contains 240824 sequences.