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A199712
Decimal expansion of (2*Pi)^12.
0
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
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
KEYWORD
nonn,cons
AUTHOR
Omar E. Pol, Jan 26 2012
EXTENSIONS
More terms from Bruno Berselli, Jan 26 2012
STATUS
approved