A357320 The total number of fixed points among all strict partitions of n, when parts are written in increasing order.
0, 1, 0, 2, 1, 1, 4, 3, 4, 4, 9, 8, 11, 12, 15, 21, 24, 28, 34, 40, 46, 60, 67, 80, 93, 110, 125, 148, 174, 200, 231, 268, 306, 354, 404, 461, 534, 606, 690, 786, 895, 1012, 1150, 1298, 1467, 1662, 1872, 2104, 2374, 2664, 2990, 3355, 3759, 4202, 4702, 5256
Offset: 0
Keywords
Examples
The 10 strict partition of 10 are (1,2,3,4), (2,3,5), (1,4,5), (1,3,6), (4,6), (1,2,7), (3,7), (2,8), (1,9), and (10), containing 4,0,1,1,0,2,0,0,1, and 0 fixed points, respectively, and so a(10) = 9.
Crossrefs
Formula
G.f.: (Product_{k>=1}(1+q^k))*Sum_{n>=1}q^(n*(n+1)/2)/Product_{k=1..n}(1+q^k).
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