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%I #4 Apr 10 2024 09:15:28
%S 1,0,3,4,3,7,6,0,5,5,2,6,6,7,9,6,4,8,2,9,4,5,3,0,6,4,0,6,5,1,2,4,8,8,
%T 7,4,8,3,6,4,2,5,6,7,2,6,4,2,7,3,3,7,5,8,1,0,2,8,3,3,2,6,8,8,1,5,2,5,
%U 9,3,1,0,0,7,4,8,6,2,5,4,8,5,5,5,2,0,7,5,8,9,3,8,1,8,2,0,0,0,5,9,6,0
%N Decimal expansion of Integral_{x=0..oo} 1 / (1 + x^7) dx.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals (1/7) * Pi * csc(Pi/7).
%F Equals A019674 * A121598.
%e 1.0343760552667964829453064065124887483642567...
%t RealDigits[(1/7) Pi Csc[Pi/7], 10, 102][[1]]
%Y Decimal expansion of Integral_{x=0..oo} 1 / (1 + x^k) dx: A019669 (k=2), A248897 (k=3), A093954 (k=4), A352324 (k=5), A019670 (k=6), this sequence (k=7), A352125 (k=8).
%Y Cf. A019674, A121598.
%K nonn,cons
%O 1,3
%A _Ilya Gutkovskiy_, Apr 09 2024
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