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A134859 Wythoff AAA numbers. +0
6
1, 6, 9, 14, 19, 22, 27, 30, 35, 40, 43, 48, 53, 56, 61, 64, 69, 74, 77, 82, 85, 90, 95, 98, 103, 108, 111, 116, 119, 124, 129, 132, 137, 142, 145, 150, 153, 158, 163, 166, 171, 174, 179, 184, 187, 192, 197, 200, 205, 208, 213, 218, 221, 226, 229, 234, 239, 242 (list; graph; listen)
OFFSET

1,2

COMMENT

The lower and upper Wythoff sequences, A and B, satisfy the complementary equations AAA=AB-2 and AAA=A+B-2.

REFERENCES

C. Kimberling, Complementary equations and Wythoff sequences, preprint, 2007.

FORMULA

a(n)=A(A(A(n))), n>=1, with A=A000201, the lower Wythoff sequence.

EXAMPLE

Starting with A=(1,3,4,6,8,9,11,12,14,16,17,19,...),

we have A(2)=3, so A(A(2))=4, so A(A(A(2)))=6.

CROSSREFS

Cf. A000201, A001950, A003622, A003623, A035336, A101864, A134860, A035337, A134861, A134862, A134863, A035338, A134864, A035513.

Sequence in context: A047452 A133796 A095098 this_sequence A117951 A106350 A020717

Adjacent sequences: A134856 A134857 A134858 this_sequence A134860 A134861 A134862

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Nov 14 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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