

A218631


Number of partitions of n+10 with largest inscribed rectangle having area <= n.


2



0, 0, 0, 0, 0, 0, 0, 0, 10, 34, 110, 136, 425, 500, 740, 1097, 1661, 1954, 2846, 3357, 4616, 5885, 7250, 8582, 11324, 13794, 16674, 20228, 24846, 29487, 36312, 43087, 51903, 61895, 73424, 87274, 104660, 123438, 145588, 171526, 202959, 238060, 280385, 328137
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OFFSET

0,9


COMMENTS

In August 2012 a(25) = 13794 was the smallest number absent from the OEIS, see links.  Alois P. Heinz, Oct 17 2013


LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100
Nicolas J.P. Gauvrit, JeanPaul Delahaye and Hector Zenil, Sloaneās Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?, Journal of Humanistic Mathematics 3:1 (2013), pp. 319.
James Grime and Brady Haran, Sloane's Gap  Numberphile (2013)


FORMULA

a(n) = A182114(n+10,n).


CROSSREFS

Sequence in context: A119171 A119229 A119227 * A166066 A232583 A068078
Adjacent sequences: A218628 A218629 A218630 * A218632 A218633 A218634


KEYWORD

nonn


AUTHOR

Alois P. Heinz, Nov 03 2012


STATUS

approved



