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A086088 Limit of ratio of consecutive terms in the tetranacci sequence A000078. +0
2
1, 9, 2, 7, 5, 6, 1, 9, 7, 5, 4, 8, 2, 9, 2, 5, 3, 0, 4, 2, 6, 1, 9, 0, 5, 8, 6, 1, 7, 3, 6, 6, 2, 2, 1, 6, 8, 6, 9, 8, 5, 5, 4, 2, 5, 5, 1, 6, 3, 3, 8, 4, 7, 2, 7, 1, 4, 6, 6, 4, 7, 0, 3, 8, 0, 0, 9, 6, 6, 6, 0, 6, 2, 2, 9, 7, 8, 1, 5, 5, 5, 9, 1, 4, 9, 8, 1, 8, 2, 5, 3, 4, 6, 1, 8, 9, 0, 6, 5, 3, 2, 5 (list; cons; graph; listen)
OFFSET

1,2

COMMENT

The tetranacci constant corresponds to the Golden Section in a fourpartite division 1 = u_1 + u_2 + u_3 + u_4 of a unit line segment, i.e. if 1/u_1 = u_1/u_2 = u_2/u_3 = u_3/u_4 = c, c is the tetranacci constant. - Seppo Mustonen, Apr 19 2005

LINKS

Eric Weisstein's World of Mathematics, Tetranacci Number

Eric Weisstein's World of Mathematics, Disk Covering Problem

Eric Weisstein's World of Mathematics, Tetranacci Constant

Eric Weisstein's World of Mathematics, Fibonacci n-Step Number

EXAMPLE

1.927561975...

MATHEMATICA

RealDigits[Root[ -1-#1-#1^2-#1^3+#1^4&, 2], 10, 110][[1]]

CROSSREFS

Cf. A000078.

Adjacent sequences: A086085 A086086 A086087 this_sequence A086089 A086090 A086091

Sequence in context: A019877 A010537 A104696 this_sequence A111506 A019733 A111722

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 08, 2003

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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