A353908 Decimal expansion of Pi^2/36.

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

Offset: 0

Author

Omar E. Pol, May 10 2022

Keywords

• nonn
• cons

Comments

Ratio between the volume of the stepped pyramid with an infinite number of levels described in A245092 and that of the circumscribed cube (see the first formula).

See also Vaclav Kotesovec's formula (2016) in A175254.

Volume shared by a sphere inscribed in a cube of volume Pi and one of the six pyramids inscribed in the cube. - Omar E. Pol, Sep 01 2024

Examples

			0.2741556778080377394120691944410041982031583168677997396225930382283345784...
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A000203, A000796, A002388, A013661, A019673, A021040, A024916, A072691, A086463, A086729, A091476, A100044, A102753, A175254, A195055, A237271, A237593, A245092.

Programs

Maple

evalf(Pi^2/36, 121);  # Alois P. Heinz, May 11 2022

Mathematica

RealDigits[Pi^2/36, 10, 100][[1]] (* Amiram Eldar, May 11 2022 *)

PARI

Pi^2/36

PARI

zeta(2)/6

Formula

Equals lim_{n->oo} A175254(n)/n^3.

Equals A002388/36.

Equals A102753/18.

Equals A195055/12.

Equals A091476/9.

Equals A013661/6.

Equals A100044/4.

Equals A072691/3.

Equals A086463/2.

Equals A086729*2.

Equals A019673^2.

Equals A002388*A021040.

Equals Re(dilog((1+sqrt(3)*i)/2)). - Mohammed Yaseen, Jul 03 2024