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Natural number that is a factor of its number of "feasible" partition(s).
10

%I #24 Mar 28 2019 20:14:06

%S 1,72,184,254,539,1743,2874,5589,21316,37581,49829,61047

%N Natural number that is a factor of its number of "feasible" partition(s).

%C This sequence lists the natural numbers m such that A254296(m) is divisible by m.

%H Md Towhidul Islam & Md Shahidul Islam, <a href="http://arxiv.org/abs/1502.07730">Number of Partitions of an n-kilogram Stone into Minimum Number of Weights to Weigh All Integral Weights from 1 to n kg(s) on a Two-pan Balance</a>, arXiv:1502.07730 [math.CO], 2015.

%e A254296(1) = 1 and A254296(72) = 72, so 1 and 72 are in this sequence.

%e A254296(184) = 2208 = 12*184, so 184 is here too.

%Y Cf. A254296, A254430, A254431, A254433, A254434, A254435, A254436, A254438, A254439, A254440.

%K nonn,more

%O 1,2

%A _Md. Towhidul Islam_, Mar 01 2015

%E a(9) added by _Md. Towhidul Islam_, Apr 18 2015

%E a(10)-a(12) from _Robert Price_, Mar 28 2019