cp's OEIS Frontend

A353908 Decimal expansion of Pi^2/36.

%I A353908 #72 Sep 20 2024 06:28:17
%S A353908 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,
%T A353908 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,
%U A353908 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
%N A353908 Decimal expansion of Pi^2/36.
%C A353908 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).
%C A353908 See also _Vaclav Kotesovec_'s formula (2016) in A175254.
%C A353908 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
%H A353908 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A353908 Equals lim_{n->oo} A175254(n)/n^3.
%F A353908 Equals A002388/36.
%F A353908 Equals A102753/18.
%F A353908 Equals A195055/12.
%F A353908 Equals A091476/9.
%F A353908 Equals A013661/6.
%F A353908 Equals A100044/4.
%F A353908 Equals A072691/3.
%F A353908 Equals A086463/2.
%F A353908 Equals A086729*2.
%F A353908 Equals A019673^2.
%F A353908 Equals A002388*A021040.
%F A353908 Equals Re(dilog((1+sqrt(3)*i)/2)). - _Mohammed Yaseen_, Jul 03 2024
%e A353908 0.2741556778080377394120691944410041982031583168677997396225930382283345784...
%p A353908 evalf(Pi^2/36, 121);  # _Alois P. Heinz_, May 11 2022
%t A353908 RealDigits[Pi^2/36, 10, 100][[1]] (* _Amiram Eldar_, May 11 2022 *)
%o A353908 (PARI) Pi^2/36
%o A353908 (PARI) zeta(2)/6
%Y A353908 Cf. A000203, A000796, A002388, A013661, A019673, A021040, A024916, A072691, A086463, A086729, A091476, A100044, A102753, A175254, A195055, A237271, A237593, A245092.
%K A353908 nonn,cons
%O A353908 0,1
%A A353908 _Omar E. Pol_, May 10 2022