A108925 Nearest integer to the n-th root of e leading to a generalized closed form for Zeta(s).

0, 1, 2, 4, 6, 10, 15, 23, 36, 55, 83, 126, 190, 287, 432, 650, 978, 1470, 2207, 3315, 4976, 7469, 11208, 16817, 25232, 37855, 56791, 85196, 127804, 191717, 287588, 431397, 647111

Offset

0,3

Comments

Sum 1/(((N+1)/2)^s) = product 1/(1-(((P+1)/2)^s)) = 1+(1/(sum(1/(((P+1)/2)^s)))) = e^(sum(1/(((P+1)/2)^s))) ~ Pi^(sum(1/(((P+1)/2)^s))). It is noteworthy that many terms are very near to a triangular number.

Links

Table of n, a(n) for n=0..32.

Crossrefs

Sequence in context: A143184 A309173 A116084 * A279026 A120549 A167270

Adjacent sequences: A108922 A108923 A108924 * A108926 A108927 A108928

Keyword

more,nonn

Author

Marco Matosic, Jul 18 2005

Status

approved