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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
0, 0, 0, 2, 5, 16, 30, 63, 108, 189, 298, 483, 720, 1092, 1582, 2297, 3225, 4551, 6244, 8592, 11590, 15622, 20741, 27536, 36066, 47198, 61150, 79077, 101391, 129808, 164934, 209213, 263745, 331807, 415229, 518656, 644719, 799926, 988432, 1218979
OFFSET
1,4
COMMENTS
Also partial sums of A182709. Total sum of emergent parts in all partitions of all numbers <= n.
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
LINKS
FORMULA
a(n) = A066186(n) - A196039(n).
a(n) ~ exp(Pi*sqrt(2*n/3)) / (4*sqrt(3)). - Vaclav Kotesovec, Jul 06 2019
KEYWORD
nonn
AUTHOR
Omar E. Pol, Oct 27 2011
STATUS
approved