Search: id:A006284
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%I A006284 M1593
%S A006284 1,2,6,13,21,24,225,615,17450,23228,57774,221361,522377,793040,1706305,
%T A006284 8664354,19037086,51965160,56870701,124645388,784244500,792809072,
%U A006284 3675221276,42108268014,53633289500,56827261536,67080647365
%N A006284 Pierce expansion for Euler's constant.
%D A006284 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006284 J. O. Shallit, Some predictable Pierce expansions, Fib. Quart., 22 (1984), 
               332-335.
%H A006284 J. O. Shallit, <a href="http://www.cs.uwaterloo.ca/~shallit/Papers/sppe.ps">
               Some predictable Pierce expansions</a>, Fib. Quart., 22 (1984), 332-335.
%H A006284 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PierceExpansion.html">Pierce Expansion</a>
%F A006284 If u(0)=exp(1/m) where m is an integer>=1 and u(n+1)=u(n)/frac(u(n)) 
               then floor(u(n))=m*n. Let u(0)=1/gamma and u(n+1)=u(n)/frac(u(n)) 
               where frac(x) is the fractional part of x, then a(n)=floor(u(n)) 
               - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 09 2004
%o A006284 (PARI) r=1/Euler;for(n=1,30,r=r/(r-floor(r));print1(floor(r),","))
%Y A006284 Cf. A006275, A006276, A006283.
%Y A006284 Sequence in context: A130533 A082722 A030416 this_sequence A048072 A026052 
               A049616
%Y A006284 Adjacent sequences: A006281 A006282 A006283 this_sequence A006285 A006286 
               A006287
%K A006284 nonn
%O A006284 0,2
%A A006284 N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit

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