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A182727
Sum of largest parts of the shell model of partitions with n regions.
5
1, 3, 6, 8, 12, 15, 20, 22, 26, 29, 35, 38, 43, 47, 54, 56, 60, 63, 69, 74, 78, 86, 89, 94, 98, 105, 108, 114, 119, 128, 130, 134, 137, 143, 148, 152, 160, 164, 171, 177, 182, 192, 195, 200, 204, 211, 214, 220, 225, 234, 239, 243, 251, 258, 264, 275, 277, 281
OFFSET
1,2
COMMENTS
Question: Is there some connection with fractals?
FORMULA
a(A000041(n)) = A182181(A000041(n)) = A006128(n). - Omar E. Pol, May 24 2012
EXAMPLE
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.
Written as a triangle begins:
1;
3;
6;
8, 12;
15, 20;
22, 26, 29, 35;
38, 43, 47, 54;
56, 60, 63, 69, 74, 78, 86;
89, 94, 98,105,108,114,119,128;
130,134,137,143,148,152,160,164,171,177,182,192;
195,200,204,211,214,220,225,234,239,243,251,258,264,275;
CROSSREFS
Partial sums of A141285. Row j has length A187219(j). Right border gives A006128.
Sequence in context: A185549 A185597 A082873 * A220001 A310138 A310139
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Jan 25 2011
EXTENSIONS
New name from Omar E. Pol, Apr 26 2012
STATUS
approved