cp's OEIS Frontend

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.

A036790 Continued fraction for Integral_{x=0..Pi} sin(x)/x.

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%I A036790 #16 Aug 03 2024 13:25:04
%S A036790 1,1,5,1,3,15,1,5,3,2,7,2,1,62,1,3,110,1,39,1,1,1,4,3,1,2,5,2,2,28,1,
%T A036790 1,1,2,6,2,2,1,278,3,3,1,1,4,1,4,2,5,5,2,4,1,1,1,28,1,1,203,1,89,2,2,
%U A036790 2,1,12,1,1,3,33,1,8,3,1,2,6,1,1,3,256,1,6,5,1,6,14,1
%N A036790 Continued fraction for Integral_{x=0..Pi} sin(x)/x.
%C A036790 Integral(sin(x)/x dx) = x - x^3/(3*3!) + x^5/(5*5!) - x^7/(7*7!) + ... - _Harry J. Smith_, May 01 2009
%H A036790 Harry J. Smith, <a href="/A036790/b036790.txt">Table of n, a(n) for n = 0..19999</a>
%H A036790 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A036790 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%e A036790 1.851937051982466170361053370... = 1 + 1/(1 + 1/(5 + 1/(1 + 1/(3 + ...)))). - _Harry J. Smith_, May 01 2009
%o A036790 (PARI) { allocatemem(932245000); default(realprecision, 21000); y=0; x=Pi; m=x; x2=x*x; n=1; nf=1; s=1; while (x!=y, y=x; n++; nf*=n; n++; nf*=n; m*=x2; s=-s; x+=s*m/(n*nf)); x=contfrac(x); for (n=1, 20000, write("b036790.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 01 2009
%Y A036790 Cf. A036792 (decimal expansion).
%K A036790 nonn,cofr
%O A036790 0,3
%A A036790 _N. J. A. Sloane_
%E A036790 Offset changed by _Andrew Howroyd_, Aug 03 2024