A282567 Imaginary part of A000178(n) * Sum_{k=0..n} i^k/k!, where i = sqrt(-1).
0, 1, 2, 10, 240, 29088, 20943360, 105529651200, 4254955536384000, 1544043321627770880000, 5603024405522854969344000000, 223654797931768113135574056960000000, 107131006056993617020920990202331136000000000, 667107003169139201955908457896071963607040000000000000
Offset: 0
Keywords
Examples
For n = 4, a(4) = 240, which is the imaginary part of A000178(4)*(1/0! + i/1! - 1/2! - i/3! + 1/4!) = 156+240*i.
Links
- Daniel Suteu, Table of n, a(n) for n = 0..50
Programs
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PARI
a(n) = imag(prod(k=0, n, k!) * sum(k=0, n, I^k/k!));