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 A006525 Denominators of greedy Egyptian fraction for e - 2. (Formerly M1553) 28
 2, 5, 55, 9999, 3620211523, 25838201785967533906, 3408847366605453091140558218322023440765 (list; graph; refs; listen; history; text; internal format)
 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 H. P. Robinson, Letter to N. J. A. Sloane, Sep 1975 Eric Weisstein's World of Mathematics, Egyptian Fraction FORMULA a(n) = ceiling(1/(e - 2 - Sum_{j=0..n-1} 1/a(j))). - Jon E. Schoenfield, Dec 26 2014 EXAMPLE e - 2 = 1/2 + 1/5 + 1/55 + 1/9999 + ... . - Jon E. Schoenfield, Dec 26 2014 MATHEMATICA lst={}; k=N[E-2, 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 02 2009 *) PROG (PARI) x = exp(1) - 2; 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 Cf. A006526, A269993. Sequence in context: A114029 A013171 A073422 * A254406 A260654 A042161 Adjacent sequences:  A006522 A006523 A006524 * A006526 A006527 A006528 KEYWORD nonn,frac AUTHOR EXTENSIONS More terms from Herman P. Robinson Offset changed to 1 by Indranil Ghosh, Mar 27 2017 STATUS approved

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Last modified January 29 08:12 EST 2020. Contains 331337 sequences. (Running on oeis4.)