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%I
%S 1,2,4,7,9,22,35,79,2992,3597,17523,28632,41470,53093,57406,14504930,
%T 42622213,188335162,322429556,1023003875,1328535963,3138645732,
%U 11618168524,137721814936,156929353744,166732460513,813398686532
%N Engel expansion of Pi^2/6, or zeta(2) = 1.64493.
%C Cf. A006784 for definition of Engel expansion
%D F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
%D P. Erdos and __Jeffrey Shallit__, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no.1, 43-53.
%H T. D. Noe, <a href="/A059186/b059186.txt">Table of n, a(n) for n=1..300</a>
%H <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a>
%t EngelExp[ A_, n_ ] := Join[ Array[ 1&, Floor[ A ] ], First@Transpose@NestList[ {Ceiling[ 1/Expand[ #[ [ 1 ] ]#[ [ 2 ] ]-1 ] ], Expand[ #[ [ 1 ] ]#[ [ 2 ] ]-1 ]}&, {Ceiling[ 1/(A-Floor[ A ]) ], A-Floor[ A ]}, n-1 ] ]
%Y Cf. A013661.
%K nonn,easy,nice
%O 1,2
%A _Mitch Harris_
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