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A179547 Transcendental signature sequence of Pi. 1
1, 2, 3, 4, 1, 5, 2, 6, 3, 7, 4, 1, 8, 5, 2, 9, 6, 3, 10, 7, 4, 1, 1, 11, 8, 5, 2, 2, 12, 9, 6, 3, 3, 13, 10, 7, 4, 1, 4, 14, 1, 11, 8, 5, 2, 5, 15, 2, 12, 9, 6, 3, 6, 16, 3, 13, 10, 7, 4, 1, 7, 17, 4, 14, 1, 11, 8, 5, 2, 8, 18, 5, 15, 2, 12, 9, 6, 3, 9, 19, 6, 16, 3, 13, 10, 7, 4, 1, 10, 20, 7, 17 (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

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

Eric W. Weisstein, Transcendental Number

CROSSREFS

Cf. A023133 (signature sequence of Pi).

Sequence in context: A087165 A238326 A083480 * A023133 A026280 A115994

Adjacent sequences:  A179544 A179545 A179546 * A179548 A179549 A179550

KEYWORD

easy,nonn

AUTHOR

Kerry Mitchell, Jul 19 2010

STATUS

approved

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Last modified August 18 02:34 EDT 2022. Contains 356204 sequences. (Running on oeis4.)