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A198381
Total number of parts greater than 1 in all partitions of n minus the number of partitions of n into parts each less than n.
5
0, 0, 0, 0, 1, 2, 6, 10, 20, 32, 54, 81, 128, 184, 273, 385, 549, 754, 1048, 1412, 1917, 2547, 3392, 4444, 5837, 7556, 9791, 12553, 16086, 20429, 25935, 32665, 41108, 51404, 64190, 79721, 98882, 122043, 150417, 184618, 226239
OFFSET
0,6
COMMENTS
Also partial sums of A182699. Total number of emergent parts in all partitions of the numbers <= n.
Also total number of parts of all regions of n that do not contain 1 as a part (Cf. A083751, A187219). - Omar E. Pol, Mar 04 2012
FORMULA
a(n) = A096541(n) - A000065(n) = 1 + A096541(n) - A000041(n) = 1 + A006128(n) - A000070(n).
a(n) = A006128(n) - A026905(n), n >= 1.
KEYWORD
nonn
AUTHOR
Omar E. Pol, Oct 27 2011
STATUS
approved