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A179548 Transcendental signature sequence of e 1
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

L. K. Mitchell, Table of n, a(n) for n=1,...,10000

Adams-Watters, Franklin T. and Weisstein, Eric W. Signature Sequence.

Weisstein, Eric W. Transcendental Number.

CROSSREFS

Sequence in context: A023117 A023127 A125159 * A023119 A118276 A023123

Adjacent sequences:  A179545 A179546 A179547 * A179549 A179550 A179551

KEYWORD

easy,nonn

AUTHOR

Kerry Mitchell, Jul 19 2010

STATUS

approved

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Last modified June 25 22:13 EDT 2022. Contains 354868 sequences. (Running on oeis4.)