Search: id:A061233
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%I A061233
%S A061233 1,7,112,115,157,372,432,1340,7034,8396,9200,18846,29558,34050,
%T A061233 89754,101768,1361737,48461857,81164005,145676139,163820009,
%U A061233 182446527,5021656281,8401618827,22255558907,28334352230,127113921970,
               310272097461,782301280193,5560255100022,9925600136870,85169484256928,
               2542699818508737,3145584963639199,397021758001902006,467746771316089905
%N A061233 Pierce expansion for 4 - Pi.
%C A061233 Also, alternating Engel expansion for Pi.
%C A061233 Pi = 4 - 1/1 + 1/1*7 - 1/1*7*112 + 1/1*7*112*115 - ...
%C A061233 Pierce expansions are always strictly increasing.
%H A061233 T. D. Noe, <a href="b061233.txt">Table of n, a(n) for n=0..400</a>
%H A061233 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%H A061233 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PierceExpansion.html">Pierce Expansion</a>
%p A061233 Digits := 1000: x0 := 4-Pi-4^(-1000): x1 := 4-Pi+4^(-1000): ss := []: 
               # when expansions of x0 and x1 differ, halt
%p A061233 k0 := floor(1/x0): k1 := floor(1/x1): while k0=k1 do ss := [op(ss),k0]: 
               x0 := 1-k0*x0: x1 := 1-k1*x1: k0 := floor(1/x0): k1 := floor(1/x1): 
               od:
%Y A061233 A014014 and A015884 are inferior versions of this sequence.
%Y A061233 Sequence in context: A171193 A112463 A009471 this_sequence A117795 A163700 
               A094219
%Y A061233 Adjacent sequences: A061230 A061231 A061232 this_sequence A061234 A061235 
               A061236
%K A061233 nonn,easy,nice
%O A061233 0,2
%A A061233 Frank.Ellermann(AT)t-online.de, May 15, 2001.
%E A061233 More terms from Eric Rains (rains(AT)caltech.edu), May 31, 2001.

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