Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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