OFFSET
0,5
COMMENTS
Shifted version of A009454. - R. J. Mathar, May 30 2014
REFERENCES
Edmund Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea Publishing, NY 1953, pp. 561-562, Section 148.
EXAMPLE
Table of n, Product_{k=0..n} (i-k):
0, i
1, -1 - i
2, 3 + i
3, -10
4, 40 - 10*i
5, -190 + 90*i
6, 1050 - 730*i
7, -6620 + 6160*i
8, 46800 - 55900*i
9, -365300 + 549900*i
10, 3103100 - 5864300*i
11, -28269800 + 67610400*i
12, 271627200 - 839594600*i
MAPLE
a:= n-> Im(mul(I-j, j=0..n)):
seq(a(n), n=0..25); # Alois P. Heinz, Jan 03 2021
PROG
(PARI) a(n) = imag(prod(k=0, n, I-k)); \\ Michel Marcus, Jan 03 2021
CROSSREFS
KEYWORD
sign,changed
AUTHOR
N. J. A. Sloane, May 29 2014
STATUS
approved