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 A001467 Denominators of an expansion for Pi. (Formerly M4464 N1893) 2
 1, 1, 1, 7, -791, -3748629, 151648960887729, -1323497544567561138595307148089, 41444465282455711991644958522615049159671653083333293470875123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Mohammad K. Azarian, An Expression for Pi, Problem #870, College Mathematics Journal, Vol. 39, No. 1, January 2008, p. 66. Solution appeared in Vol. 40, No. 1, January 2009, pp. 62-64. H. E. Salzer, The approximation of numbers as sums of reciprocals, Amer. Math. Monthly, 54 (1947), 135-142. J. W. Wrench, Jr., Letter to N. J. A. Sloane, Mar 27 1974 FORMULA Numerators are 1. EXAMPLE a(4) = -791 since Pi - (1/1) - (1/1) - (1/1) - (1/7) = -0.001264489... is closer to 1/(-791) = -0.001264222... than to 1/(-790) = -0.0012658228... PROG (PARI) x=Pi; for(k=0, 8, if(x<1, d=round(1/x), d=1); x=x-1/d; print(d, ", ")) \\ Jaume Oliver Lafont, Feb 21 2009 CROSSREFS Cf. A001466, A014013, A073422. Sequence in context: A182282 A171245 A014013 * A342836 A338968 A342834 Adjacent sequences: A001464 A001465 A001466 * A001468 A001469 A001470 KEYWORD sign,frac AUTHOR EXTENSIONS Edited by Henry Bottomley, Jul 30 2002 STATUS approved

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Last modified January 28 17:08 EST 2023. Contains 359895 sequences. (Running on oeis4.)