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A167289 Signature sequence of the Salem number 1.1883681475082235.... 4
1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 6, 5, 4, 3, 2, 1, 7, 6, 5, 4, 3, 2, 8, 1, 7, 6, 5, 4, 3, 9, 2, 8, 1, 7, 6, 5, 4, 10, 3, 9, 2, 8, 1, 7, 6, 5, 11, 4, 10, 3, 9, 2, 8, 1, 7, 6, 12, 5, 11, 4, 10, 3, 9, 2, 8, 1, 7, 13, 6, 12, 5, 11, 4, 10, 3, 9, 2, 8, 14, 1, 7, 13, 6, 12, 5, 11, 4, 10, 3, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

Michael Mossinghoff, Lehmer's Problem Website.

Michael Mossinghoff, Small Salem Numbers.

MATHEMATICA

Clear[a, n, b];  a = {1, -1, 1, -1, 0, 0, -1, 1, -1 };

b = Join[a, {1}, Reverse[a]];

p[x_] = Sum[b[[n]]*x^(n - 1), {n, 1, Length[b]}];

m = x /. Solve[p[x] == 0, x][[2]];

Take[Transpose[Sort[Flatten[Table[{i + j*m, i}, {i, 25}, {j, 17}], 1], #1[[1]] < #2[[1]] &]][[2]], 95]

CROSSREFS

Cf. A147851, A073011

Sequence in context: A200370 A200443 A167288 * A200329 A023122 A200272

Adjacent sequences:  A167286 A167287 A167288 * A167290 A167291 A167292

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Nov 01 2009

STATUS

approved

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Last modified December 9 08:39 EST 2021. Contains 349627 sequences. (Running on oeis4.)