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A371858

Decimal expansion of Integral_{x=0..oo} 1 / (1 + x^7) dx.
(history; published version)

#4 by N. J. A. Sloane at Wed Apr 10 09:15:28 EDT 2024

STATUS

proposed

approved

#3 by Ilya Gutkovskiy at Tue Apr 09 11:35:09 EDT 2024

STATUS

editing

proposed

#2 by Ilya Gutkovskiy at Tue Apr 09 10:12:45 EDT 2024

NAME

allocated for Ilya GutkovskiyDecimal expansion of Integral_{x=0..oo} 1 / (1 + x^7) dx.

DATA

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, 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, 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

OFFSET

1,3

LINKS

<a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

FORMULA

Equals (1/7) * Pi * csc(Pi/7).

Equals A019674 * A121598.

EXAMPLE

1.0343760552667964829453064065124887483642567...

MATHEMATICA

RealDigits[(1/7) Pi Csc[Pi/7], 10, 102][[1]]

CROSSREFS

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).

Cf. A019674, A121598.

KEYWORD

allocated

nonn,cons

AUTHOR

Ilya Gutkovskiy, Apr 09 2024

STATUS

approved

editing

#1 by Ilya Gutkovskiy at Tue Apr 09 10:12:45 EDT 2024

NAME

allocated for Ilya Gutkovskiy

KEYWORD

allocated

STATUS

approved