A179548 - OEIS

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A179548

Transcendental signature sequence of e.

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	`Kerry Mitchell, Table of n, a(n) for n=1..10000` `Franklin T. Adams-Watters and Eric W. Weisstein, Signature Sequence.` `Eric Weisstein's World of Mathematics, 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 March 29 08:33 EDT 2023. Contains 361596 sequences. (Running on oeis4.)