|
%I #13 Mar 06 2023 09:38:56
%S 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,1,3,6,9,1,2,4,7,10,2,3,5,8,11,1,3,4,6,
%T 9,1,12,2,4,5,7,10,2,13,3,5,6,8,11,1,3,14,4,6,7,9,1,12,2,4,15,5,7,8,
%U 10,2,13,1,3,5,16,6,8,9,11,1,3,14,2,4,6,17,7,9,1,10,12,2,4,15,3,5,7,18,8,10
%N Transcendental signature sequence of e.
%C Let x be a transcendental number greater than 1. S1(x) is the standard signature sequence for an irrational number - sort y = a0 + a1x (for positive integers a0 and a1) and S1 is the sequence of a0 values. S2(x) is the sequence of a0's for sorted y = a0 + a1x + a2x^2, S3(x) is the a0 sequence for y = a0 + a1x + a2x^2 + a3x^3, etc. The transcendental signature sequence is the limit of Sn(x) as n approaches infinity.
%H Kerry Mitchell, <a href="/A179548/b179548.txt">Table of n, a(n) for n=1..10000</a>
%H Franklin T. Adams-Watters and Eric W. Weisstein, <a href="http://mathworld.wolfram.com/SignatureSequence.html">Signature Sequence</a>.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TranscendentalNumber.html">Transcendental Number</a>.
%K easy,nonn
%O 1,2
%A _Kerry Mitchell_, Jul 19 2010
|
