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Modified Engel expansion of 3/7.
(Formerly M0960)
0

%I M0960 #25 Jun 18 2017 02:36:50

%S 2,4,5,7,8,10,25,53,62,134,574,2431,13147,27167,229073,315416,435474,

%T 771789,1522716,3853889,7878986,7922488,8844776,9182596,9388467,

%U 14781524,135097360,1374449987,1561240840,4408239956,11166053604,12014224315

%N Modified Engel expansion of 3/7.

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

%H Jeffrey Shallit, <a href="http://www.fq.math.ca/Scanned/31-1/shallit.pdf">Rational numbers with non-terminating, non-periodic modified Engel-type expansions</a>, Fib. Quart., 31 (1993), 37-40.

%H <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a>

%F a(n) = floor(1/A(n)) where A(1) = 3/7, A(n+1) = (1/a(n) - A(n)) * (a(n) + 1). - _Sean A. Irvine_, Jun 17 2017

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Jun 17 2017