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Decimal expansion of 1/2-G/Pi, the lowest limiting trough of a square wave Fourier series, where G is the Gibbs-Wilbraham constant. [negated]
3

%I #7 Jul 07 2023 11:36:07

%S 0,8,9,4,8,9,8,7,2,2,3,6,0,8,3,6,3,5,1,1,6,0,1,4,4,2,2,9,1,2,4,5,4,8,

%T 7,0,7,3,1,9,4,8,7,1,0,4,8,2,1,8,3,0,7,3,4,1,7,2,5,1,8,5,2,8,8,4,1,5,

%U 1,8,5,1,8,5,2,5,2,1,9,2,9,5,3,8,8,3,4,1,7,3,9,7,4,7,0,5,2,1

%N Decimal expansion of 1/2-G/Pi, the lowest limiting trough of a square wave Fourier series, where G is the Gibbs-Wilbraham constant. [negated]

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.1 Gibbs-Wilbraham constant, p. 249.

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/Wilbraham-GibbsConstant.html">Wilbraham-Gibbs Constant</a>

%e -0.08948987223608363511601442291245487...

%t G = SinIntegral[Pi]; RealDigits[1/2 - G/Pi, 10, 97] // First

%Y Cf. A036792, A036793, essentially the same as A243267.

%K nonn,cons

%O 0,2

%A _Jean-François Alcover_, Jun 02 2014