A378408 Decimal expansion of Pi^5/90.

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

Offset: 1

Author

Paolo Xausa, Nov 25 2024

Keywords

• nonn
• cons
• easy

Comments

See Penn link for a geometric interpretation.

Examples

			3.4002187198364605918082367782603956275588967403119...
		

Links

• Amiram Eldar, Illustration.
• Michael Penn, A twist on a classic circle problem, YouTube video, 2024.
• Index entries for constants related to zeta.
• Index entries for transcendental numbers.

Crossrefs

Cf. A000796, A013662, A092731, A279037.

Programs

Mathematica

First[RealDigits[Pi^5/90, 10, 100]]

PARI

Pi^5/90 \\ Charles R Greathouse IV, Nov 27 2024

Formula

Equals Pi*Sum_{k >= 1} 1/k^4 = Pi*zeta(4) = A000796*A013662.

Equals A092731/90.