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A018920 Pisot sequence T(3,10). +0
1
3, 10, 33, 108, 353, 1153, 3766, 12300, 40172, 131202, 428506, 1399501, 4570771, 14928140, 48755311, 159234864, 520061125, 1698519827, 5547366384, 18117700664, 59172417076, 193257136076, 631177877968, 2061427183105, 6732621943159, 21988745758766 (list; graph; listen)
OFFSET

0,1

REFERENCES

D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.

FORMULA

a(n) = 3a(n-1) + a(n-2) - a(n-4) - a(n-5) - a(n-6) (holds at least up to n = 1000).

CROSSREFS

See A008776 for definitions of Pisot sequences.

Sequence in context: A049219 A126184 A060557 this_sequence A006190 A020704 A113299

Adjacent sequences: A018917 A018918 A018919 this_sequence A018921 A018922 A018923

KEYWORD

nonn

AUTHOR

R. K. Guy (rkg(AT)cpsc.ucalgary.ca)

EXTENSIONS

Corrected by David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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