A218631 Number of partitions of n+10 with largest inscribed rectangle having area <= n.

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

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, Jean-Paul Delahaye and Hector Zenil, Sloane’s Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?, Journal of Humanistic Mathematics 3:1 (2013), pp. 3-19.

James Grime and Brady Haran, Sloane's Gap, Numberphile video (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