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%I #30 Mar 11 2014 01:34:18
%S 1,3,6,8,12,15,20,22,26,29,35,38,43,47,54,56,60,63,69,74,78,86,89,94,
%T 98,105,108,114,119,128,130,134,137,143,148,152,160,164,171,177,182,
%U 192,195,200,204,211,214,220,225,234,239,243,251,258,264,275,277,281
%N Sum of largest parts of the shell model of partitions with n regions.
%C Question: Is there some connection with fractals?
%H Alois P. Heinz, <a href="/A182727/b182727.txt">Table of n, a(n) for n = 1..4000</a>
%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpar02.jpg">Illustration of the seven regions of 5</a>
%F a(A000041(n)) = A182181(A000041(n) = A006128(n). - _Omar E. Pol_, May 24 2012
%e For n = 6 the largest parts of the first six regions of the shell model of partitions are 1, 2, 3, 2, 4, 3, so a(6) = 1+2+3+2+4+3 = 15.
%e Written as a triangle begins:
%e 1;
%e 3;
%e 6;
%e 8, 12;
%e 15, 20;
%e 22, 26, 29, 35;
%e 38, 43, 47, 54;
%e 56, 60, 63, 69, 74, 78, 86;
%e 89, 94, 98,105,108,114,119,128;
%e 130,134,137,143,148,152,160,164,171,177,182,192;
%e 195,200,204,211,214,220,225,234,239,243,251,258,264,275;
%Y Partial sums of A141285. Row j has length A187219(j). Right border gives A006128.
%Y Cf. A135010, A141285, A182728, A182729, A186114, A206437, A182181, A182244, A210990.
%K nonn,tabf
%O 1,2
%A _Omar E. Pol_, Jan 25 2011
%E New name from _Omar E. Pol_, Apr 26 2012
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