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A060007 Decimal expansion of v_4, where v_n is the smallest, positive, real solution to the equation (v_n)^n = v_n + 1. 0
1, 2, 2, 0, 7, 4, 4, 0, 8, 4, 6, 0, 5, 7, 5, 9, 4, 7, 5, 3, 6, 1, 6, 8, 5, 3, 4, 9, 1, 0, 8, 8, 3, 1, 9, 1, 4, 4, 3, 2, 4, 8, 9, 0, 8, 6, 2, 4, 8, 6, 3, 5, 2, 1, 4, 2, 8, 8, 2, 4, 4, 4, 5, 3, 0, 4, 9, 7, 1, 0, 0, 0, 8, 5, 2, 2, 5, 9, 1, 3, 5, 0, 2, 5, 3, 0, 9, 5, 5, 2, 1, 8, 6, 9, 9, 6, 2, 8, 6, 2, 5, 7, 4, 0, 1 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

v_2 = A001622.

A Perron number of the 4th degree polynomial (see Boys and Wu). - R. J. Mathar, Mar 19 2011

LINKS

David W. Boys, The maximal modulus of an algebraic integer, Math. Comp. 45 (1985) 243-249, table page S18.

F. Rothelius, Formulae[broken link]

Qiang Wu, The smallest Perron numbers, Math. Comp. 79 (2010) 2387-2394

EXAMPLE

v_4 = 1.220744084605759475361685349...

CROSSREFS

Cf. A001622.

Sequence in context: A135006 A086118 A104986 * A021457 A137456 A009187

Adjacent sequences:  A060004 A060005 A060006 * A060008 A060009 A060010

KEYWORD

cons,nice,nonn

AUTHOR

Fabian Rothelius (fabian.rothelius(AT)telia.com), Mar 14 2001

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 11 2003

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Last modified February 15 10:06 EST 2012. Contains 205763 sequences.