A092742 Decimal expansion of 1/Pi^2.

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

Offset

0,4

Comments

The asymptotic density of squarefree numbers that are divisible by 5. - Amiram Eldar, Mar 25 2021

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 3.6.1, p. 220.

Links

Table of n, a(n) for n=0..104.

S. Ramanujan, Some formulas in the analytic theory of numbers Messenger of Mathematics, XLV, 1916, pp. 81-84, Formula (3).

Index entries for transcendental numbers

Example

0.101321183642337771443879463209727638904358774672246548845609...

Mathematica

RealDigits[N[1/Pi^2, 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, May 27 2010 *) (* Corrected by Harvey P. Dale, Sep 21 2024. *)
realDigitsRecip[Pi^2] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Sep 21 2024 *)

Prog

(PARI) c=Pi^-2; a=eval(vecextract(Vec(Str(c)), "3..-2"))  \\ M. F. Hasler, Sep 16 2011

Crossrefs

Cf. A000796 (Pi), A002388 (Pi^2), A091925 (Pi^3), A092425 (Pi^4), A092731 (Pi^5), A092732 (Pi^6), A092735 (Pi^7), A092736 (Pi^8).

Cf. A049541 (1/Pi), A092743 (1/Pi^3), A092744 (1/Pi^4), A092745 (1/Pi^5), A092746 (1/Pi^6), A092747 (1/Pi^7), A092748 (1/Pi^8).

Sequence in context: A293181 A229345 A240235 * A316564 A214742 A204124

Adjacent sequences: A092739 A092740 A092741 * A092743 A092744 A092745

Keyword

cons,nonn

Author

Mohammad K. Azarian, Apr 12 2004

Status

approved