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A218631 Number of partitions of n+10 with largest inscribed rectangle having area <= n. 2

%I #16 Jun 16 2018 15:57:37

%S 0,0,0,0,0,0,0,0,10,34,110,136,425,500,740,1097,1661,1954,2846,3357,

%T 4616,5885,7250,8582,11324,13794,16674,20228,24846,29487,36312,43087,

%U 51903,61895,73424,87274,104660,123438,145588,171526,202959,238060,280385,328137

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

%C In August 2012 a(25) = 13794 was the smallest number absent from the OEIS, see links. - _Alois P. Heinz_, Oct 17 2013

%H Alois P. Heinz, <a href="/A218631/b218631.txt">Table of n, a(n) for n = 0..100</a>

%H Nicolas J.-P. Gauvrit, Jean-Paul Delahaye and Hector Zenil, <a href="http://dx.doi.org/10.5642/jhummath.201301.03">Sloaneā€™s Gap: Do Mathematical and Social Factors Explain the Distribution of Numbers in the OEIS?</a>, Journal of Humanistic Mathematics 3:1 (2013), pp. 3-19.

%H James Grime and Brady Haran, <a href="https://www.youtube.com/watch?v=_YysNM2JoFo">Sloane's Gap</a>, Numberphile video (2013)

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

%K nonn

%O 0,9

%A _Alois P. Heinz_, Nov 03 2012

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Last modified April 24 16:34 EDT 2024. Contains 371961 sequences. (Running on oeis4.)