

A275341


Positions of ones in A275737.


6



1, 2, 3, 5, 6, 8, 11, 13, 15, 18, 20, 23, 25, 28, 30, 33, 37, 39, 42, 46, 49, 52, 55, 58, 61, 64, 68, 71, 74, 78, 82, 85, 89, 92, 95, 99, 103, 107, 110, 114, 118, 121, 126, 129, 133, 137, 140, 144, 148, 153, 156, 160, 165, 168, 172, 176, 180, 184, 189, 193, 197
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OFFSET

1,2


COMMENTS

a(n) appears to be asymptotic to log((n+1)!). The question at MathOverflow discusses a related but more complicated sequence.


LINKS



FORMULA

a(n) is the positions of ones in round(im(zetazero(n + 1))/(2*Pi))  round(im(zetazero(n))/(2*Pi)), where n starts at 1.


EXAMPLE

The sequence A275737: round(im(zetazero(n + 1))/(2*Pi))  round(im(zetazero(n))/(2*Pi)) where n=1,2,3,4,5, starts:
1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1,...
The positions of ones in that sequence are a(n):
1, 2, 3, 5, 6, 8, 11, 13, 15, 18, 20, 23, 25, 28, 30,...
Compare this to round(log((n+1)!)) A046654:
1, 2, 3, 5, 7, 9, 11, 13, 15, 18, 20, 23, 25, 28, 31,...


MATHEMATICA

Flatten[Position[Differences[Round[Im[ZetaZero[Range[135]]]/(2*Pi)]], 1]]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



