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A196025 Total sum of parts greater than 1 in all the partitions of n except one copy of the smallest part greater than 1 of every partition. 5

%I #29 Jul 06 2019 06:50:42

%S 0,0,0,2,5,16,30,63,108,189,298,483,720,1092,1582,2297,3225,4551,6244,

%T 8592,11590,15622,20741,27536,36066,47198,61150,79077,101391,129808,

%U 164934,209213,263745,331807,415229,518656,644719,799926,988432,1218979

%N Total sum of parts greater than 1 in all the partitions of n except one copy of the smallest part greater than 1 of every partition.

%C Also partial sums of A182709. Total sum of emergent parts in all partitions of all numbers <= n.

%C Also total sum of parts of all regions of n that do not contain 1 as a part (Cf. A083751, A187219). - Omar E. Pol, Mar 04 2012

%H Vaclav Kotesovec, <a href="/A196025/b196025.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A066186(n) - A196039(n).

%F a(n) ~ exp(Pi*sqrt(2*n/3)) / (4*sqrt(3)). - _Vaclav Kotesovec_, Jul 06 2019

%Y Cf. A026905, A046746, A066186, A135010, A138121, A182699, A182707, A182709, A183152, A193827, A196039, A196930, A196931, A198381.

%K nonn

%O 1,4

%A _Omar E. Pol_, Oct 27 2011

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