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A036792
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Decimal expansion of Integral(sin(x)/x, x=0..Pi).
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4
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1, 8, 5, 1, 9, 3, 7, 0, 5, 1, 9, 8, 2, 4, 6, 6, 1, 7, 0, 3, 6, 1, 0, 5, 3, 3, 7, 0, 1, 5, 7, 9, 9, 1, 3, 6, 3, 3, 4, 5, 8, 0, 9, 7, 2, 8, 9, 8, 1, 1, 5, 4, 9, 0, 9, 8, 0, 4, 7, 8, 3, 7, 8, 1, 8, 7, 6, 9, 8, 1, 8, 9, 0, 1, 6, 6, 3, 4, 8, 3, 5, 8, 5, 3, 2, 7, 1, 0, 3, 3, 6, 5, 0, 2, 9, 5, 4, 7, 5, 7, 7, 0, 1, 6, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Also known as Gibbs Constant.
Integral(sin(x)/x dx) = x - x^3/(3*3!) + x^5/(5*5!) - x^7/(7*7!) + ... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 01 2009]
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,20000
Simon Plouffe, Gibbs
Eric Weisstein's World of Mathematics, Wilbraham-Gibbs Constant
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MATHEMATICA
| RealDigits[ N[ SinIntegral[Pi], 110]] [[1]]
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PROG
| (PARI) { default(realprecision, 20080); 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)); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b036792.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 01 2009]
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CROSSREFS
| Cf. A036790.
Sequence in context: A086730 A139721 A021058 * A198581 A154735 A010147
Adjacent sequences: A036789 A036790 A036791 * A036793 A036794 A036795
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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