A133011 Characteristic function of the Riemann zeta function: If n is a nearest integer to imaginary part of zero, then a(n)=0 else a(n)=1.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1

Offset

1,1

Comments

Also an interesting triangle read by row: See tabl.

Links

Table of n, a(n) for n=1..78.

Index entries for characteristic functions

Index entries for zeta function.

Example

a(30)=0 because 30 is the nearest integer to imaginary part of 4th nontrivial zero of Riemann zeta function.

Crossrefs

See A002410 for more information. Cf. A058303, A065434, A065452, A065453.

Sequence in context: A014230 A014451 A106667 * A296079 A354806 A340363

Adjacent sequences: A133008 A133009 A133010 * A133012 A133013 A133014

Keyword

easy,nonn,tabl

Author

Omar E. Pol, Sep 13 2007

Status

approved