A086729 Decimal expansion of Pi^2/72.

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

Offset: 0

Author

N. J. A. Sloane, Jul 31 2003

Keywords

• nonn
• cons
• easy

Comments

The original name was: Decimal expansion of Sum_{m=0..infinity} 1/(6*m+3)^2.

Examples

			0.1370778389040188697...
		

References

• L. Fejes Toth, Lagerungen in der Ebene, auf der Kugel und im Raum, 2nd. ed., Springer-Verlag, Berlin, Heidelberg 1972; see p. 213.

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A086722, A086723, A086724, A086725, A086726, A086727, A086728, A086730, A086731, A111003, A353908.

Programs

Maple

evalf(Pi^2/72) ;  # R. J. Mathar, Dec 18 2010

PARI

Pi^2/72 \\ Omar E. Pol, May 12 2022

Formula

Equals A111003/9. - R. J. Mathar, Dec 18 2010

From Amiram Eldar, Jul 19 2020: (Start)

Sum_{k>=0} (1/(12*k+3)^2 + 1/(12*k+9)^2).

Equals Integral_{x=1..oo} log(1 + 1/x^6)/x dx. (End)

Equals A353908/2. - Omar E. Pol, May 12 2022

Extensions

New name after R. J. Mathar's Maple program. - Omar E. Pol, May 12 2022