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A018904 Define the sequence S(a_0,a_1) by a_{n+2} is the least integer such that a_{n+2}/a_{n+1}>a_{n+1}/a_n for n >= 0 . This is S(1,6). +0
1
1, 6, 37, 229, 1418, 8781, 54377, 336734, 2085253, 12913101, 79965442, 495192589, 3066520913, 18989683446, 117595179557, 728217839669, 4509548979898, 27925753660941, 172932530727097, 1070898946784974 (list; graph; listen)
OFFSET

0,2

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) = (a_1+1)a(n-1) - (a_1-1)a(n-2).

CROSSREFS

Sequence in context: A033124 A022035 A005668 this_sequence A076026 A161734 A081570

Adjacent sequences: A018901 A018902 A018903 this_sequence A018905 A018906 A018907

KEYWORD

nonn

AUTHOR

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

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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