

A006524


Egyptian fraction for 1/ Pi.
(Formerly M3509)


26




OFFSET

1,1


REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..11 [a(11) corrected by Georg Fischer, Jun 04 2019]
H. P. Robinson, Letter to N. J. A. Sloane, Sep 1975
Eric Weisstein's World of Mathematics, Egyptian Fraction
Index entries for sequences related to the number Pi
Index entries for sequences related to Egyptian fractions


MATHEMATICA

a = {}; k = N[1/Pi, 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k  1/s, {n, 1, 10}]; a (* Artur Jasinski, Sep 22 2008 *)


PROG

(PARI) x = 1/Pi;
f(x, k) = if(k<1, x, f(x, k  1)  1/n(x, k));
n(x, k) = ceil(1/f(x, k  1));
for(k = 1, 7, print1(n(x, k), ", ") \\ Indranil Ghosh, Mar 27 2017


CROSSREFS

Sequence in context: A048731 A000881 A109923 * A299683 A341598 A295231
Adjacent sequences: A006521 A006522 A006523 * A006525 A006526 A006527


KEYWORD

nonn,frac


AUTHOR

N. J. A. Sloane, Robert G. Wilson v


EXTENSIONS

More terms from Herman P. Robinson
Offset changed to 1 by Indranil Ghosh, Mar 27 2017


STATUS

approved



