This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A065452 #32 Dec 01 2024 10:53:16 %S A065452 2,5,0,1,0,8,5,7,5,8,0,1,4,5,6,8,8,7,6,3,2,1,3,7,9,0,9,9,2,5,6,2,8,2, %T A065452 1,8,1,8,6,5,9,5,4,9,6,7,2,5,5,7,9,9,6,6,7,2,4,9,6,5,4,2,0,0,6,7,4,5, %U A065452 0,9,2,0,9,8,4,4,1,6,4,4,2,7,7,8,4,0,2,3,8,2,2,4,5,5,8,0,6,2,4 %N A065452 Decimal expansion of imaginary part of 3rd nontrivial zero of Riemann zeta function. %C A065452 See A002410 and A058303 for more information. %D A065452 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.15.3, p. 138. %H A065452 G. C. Greubel, <a href="/A065452/b065452.txt">Table of n, a(n) for n = 2..10000</a> %H A065452 Andrew M. Odlyzko, <a href="http://www.plouffe.fr/simon/constants/zeta100.html">The first 100 (non trivial) zeros of the Riemann Zeta function, to over 1000 decimal digits each</a>, AT&T Labs - Research. %H A065452 Andrew M. Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/zeta_tables/index.html">Tables of zeros of the Riemann zeta function</a> %H A065452 <a href="/index/Z#zeta_function">Index entries for zeta function</a>. %e A065452 The zero is at 1/2 + i * 25.01085758014568876321379099256282181865954967... %t A065452 ZetaZero[3] // Im // RealDigits[#, 10, 99]& // First (* _Jean-François Alcover_, Mar 05 2013 *) %o A065452 (PARI) solve(x=25,25.1,real(zeta(1/2+x*I))) \\ _Charles R Greathouse IV_, Jun 30 2011 %o A065452 (PARI) lfunzeros(1,[25,26])[1] \\ or: lfunzeros(1,26)[3]. - _M. F. Hasler_, Nov 23 2018 %Y A065452 Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3: this), A065453 (k=4), A192492 (k=5), A305741 (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10). %Y A065452 Cf. A002410 (these values rounded to nearest integer), A013629 (floor), A092783 (ceiling). %K A065452 nonn,cons %O A065452 2,1 %A A065452 _N. J. A. Sloane_, Nov 24 2001 %E A065452 Minor edits by _M. F. Hasler_, Nov 23 2018