Search: id:A103186
Results 1-1 of 1 results found.

%I A103186
%S A103186 1,6,9,19,31,41,47,52,55,163,174,220,281,295,314,396,428,446,495,600,
%T A103186 650,661,698,803,822,841,977,1090,1124,1358,1435,1501,1667,1668,1719,
%U A103186 1828,1926,1968,1987,2007,2161,2210,2236,2261,2305,2416,2509,2555,2595
%N A103186 a(n) is the position of the start of the first occurrence of n > a(n-1) 
               after the decimal point in Pi = 3.14159265358979323846264338327950288...
%C A103186 The digits at position 1667 are "334", so, according to the strict definition 
               of this sequence, a(33) is 1667 and a(34) is 1668. However, this 
               would not enable a person to mark in bold-face the counting numbers 
               within the digits of pi, which was the inspiration for this sequence. 
               Surprisingly, if overlapping is not allowed, this changes only one 
               element of the sequence. a(34) becomes 1700 and a(35) remains 1719. 
               No other overlapping occurs within the first 100,000 decimal digits 
               of Pi. - Graeme McRae (g_m(AT)mcraefamily.com), Mar 20 2005
%H A103186 Dave Andersen, <a href="http://www.angio.net/pi/piquery">The Pi-Search 
               Page</a>.
%H A103186 Bob Happelberg, <a href="http://www.bobspoetry.com/Bobs02Fe.pdf">Bob's 
               Poetry Page for Feb 2005</a>
%e A103186 Moving always to the right in the decimal expansion of Pi, the string 
               "1" is found at position 1 counting from the first digit after the 
               decimal point, the string "2" is found at position 6, the string 
               "3" at position 6, the string "4" at position 19, etc.
%t A103186 p = ToString[ FromDigits[ RealDigits[ N[Pi - 3, 2600]][[1]]]]; lst = 
               {0}; Do[a = StringPosition[p, ToString[n], 1][[1, 1]]; AppendTo[lst, 
               a + lst[[ -1]]]; p = StringDrop[p, a], {n, 49}]; Rest[lst] (from 
               Robert G. Wilson v Mar 19 2005)
%o A103186 (MAGMA) k := 3000; R := RealField(k); S := IntegerToString(Round(10^k*(-3 
               + Pi(R)))); Q := []; d := 0; for n in [1..49] do p:= Position(S, 
               IntegerToString(n)); d+:=p; Append(~Q, d); S := Substring(S, p+1, 
               #S-p); end for; Q; /* Klaus Brockhaus, Feb 15 2007 */
%Y A103186 Cf. A000796, A078197, A014777 (another version).
%Y A103186 Sequence in context: A078415 A023041 A118277 this_sequence A011988 A161782 
               A154783
%Y A103186 Adjacent sequences: A103183 A103184 A103185 this_sequence A103187 A103188 
               A103189
%K A103186 nonn,base,easy
%O A103186 1,2
%A A103186 Suggested by Bob's Poetry Page. - Alonso Del Arte (alonso.delarte(AT)gmail.com), 
               Mar 01 2005
%E A103186 More terms from Graeme McRae (g_m(AT)mcraefamily.com) and Robert G. Wilson 
               v (rgwv(AT)rgwv.com), Mar 19 2005

Search completed in 0.001 seconds