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

Author

Marco Matosic, Jul 18 2005

Keywords

• more
• nonn

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.