A072117 - OEIS

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A072117

Continued fraction expansion of smallest Pisot-Vijayaraghavan number (positive root of x^3 = x + 1 ).

2

1, 3, 12, 1, 1, 3, 2, 3, 2, 4, 2, 141, 80, 2, 5, 1, 2, 8, 2, 1, 1, 3, 1, 8, 2, 1, 1, 14, 1, 1, 2, 1, 1, 1, 3, 1, 10, 4, 40, 1, 1, 2, 4, 9, 1, 1, 3, 3, 3, 2, 1, 17, 7, 5, 1, 1, 4, 1, 1, 3, 5, 1, 2, 6, 2, 2, 1, 1, 1, 4, 1, 3, 1, 2, 6, 5, 6, 49, 3, 7, 1, 4, 2, 12, 4, 31, 1, 47, 1, 1, 1, 8, 2, 2, 1, 2, 1

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..96.

EXAMPLE

This number = 1.32471795724474602....

PROG

(PARI) \p150 contfrac(solve(X=1, 2, X^3-X-1))

CROSSREFS

Cf. A060006 (decimal expansion).

Sequence in context: A372101 A181405 A354568 * A162853 A162854 A342787

Adjacent sequences: A072114 A072115 A072116 * A072118 A072119 A072120

KEYWORD

base,cofr,easy,nonn

AUTHOR

Benoit Cloitre, Jun 19 2002

EXTENSIONS

Offset changed by Andrew Howroyd, Jul 06 2024

STATUS

approved