A371858 Decimal expansion of Integral_{x=0..oo} 1 / (1 + x^7) dx.

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

Author

Ilya Gutkovskiy, Apr 09 2024

Keywords

• nonn
• cons

Examples

			1.0343760552667964829453064065124887483642567...
		

Links

• Index entries for transcendental numbers.

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, A047336, A121598.

Programs

Mathematica

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

Formula

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

Equals A019674 * A121598.

Equals Product_{k>=2} (1 + (-1)^k/A047336(k)). - Amiram Eldar, Nov 22 2024