A199712 Decimal expansion of (2*Pi)^12.

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

Offset

10,1

References

T. Apostol, Modular Forms and Dirichlet Series in Number Theory 2nd, ed., Springer-Verlag, New York, 1997 (p. 20)

L. J. Mordell, On Mr Ramanujan's empirical expansions of modular functions, Proc. Cambridge Phil. Soc. 19 (1917), 117-124.

S. Ramanujan, On certain arithmetical functions, Trans. Cambridge Phil. Soc. 22 (1916), 159-184.

J.-P. Serre, A Course in Arithmetic, Springer-Verlag, New York, 1973 (VII.4)

R. Stanley, Enumerative Combinatorics, volume 1, second edition, solution to exercise 96, Cambridge University Press (2012), p. 189

Links

Table of n, a(n) for n=10..96.

Index entries for transcendental numbers

Example

3785806567.519740666767684281788316086980289613578441958218792...

Mathematica

RealDigits[(2 Pi)^12, 10, 100][[1]] (* Bruno Berselli, Jan 26 2012 *)

Prog

(PARI) (2*Pi)^12 \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Cf. A000796, A001674, A001675, A019692.

Sequence in context: A303276 A264826 A335893 * A173257 A103560 A198562

Adjacent sequences: A199709 A199710 A199711 * A199713 A199714 A199715

Keyword

nonn,cons

Author

Omar E. Pol, Jan 26 2012

Extensions

More terms from Bruno Berselli, Jan 26 2012

Status

approved