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

1,1

Comments

See Penn link for a geometric interpretation.

Links

Table of n, a(n) for n=1..90.

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.

Formula

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

Equals A092731/90.

Example

3.4002187198364605918082367782603956275588967403119...

Mathematica

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

Prog

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

Crossrefs

Cf. A000796, A013662, A092731, A279037.

Sequence in context: A261137 A319341 A086798 * A155061 A322016 A247446

Adjacent sequences: A378405 A378406 A378407 * A378409 A378410 A378411

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 25 2024

Status

approved