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A112683 For each positive integer n, consider the ternary sequence given initially by x(i) = 0 if 1 <= i < n, x(n) = 1; and thereafter determined by the quadratic recurrence x(i) = x(i-1) + x(i-n)^2 mod 3. Define a(n) to be the smallest positive integer N for which x(N+i) = x(i) for all sufficiently large i. 2
1, 4, 4, 9, 19, 4, 4, 22, 36, 4, 4, 45, 64, 4, 4, 102, 182, 213, 4, 188, 272, 4, 412, 225, 202, 4, 4, 1444, 512, 4, 4, 840, 1237, 4, 1138, 362, 1263, 4, 4, 1536, 672, 1786, 4, 701, 741, 4, 4, 2098, 3921, 5400, 178, 1183, 2348, 4, 7698, 6042, 5091, 4, 4 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

Terms computed by Bob Harder.

LINKS

S. R. Finch, Periodicity in Sequences Mod 3

EXAMPLE

For example, if n=4, then N=9, since the first 60 terms of x are:

0 0 0 1 1 1 1 2 0 1

2 0 0 1 2 2 2 0 1 2

0 0 1 2 2 2 0 1 2 0

0 1 2 2 2 0 1 2 0 0

1 2 2 2 0 1 2 0 0 1

2 2 2 0 1 2 0 0 1 2

CROSSREFS

Cf. A112684, A112675.

Sequence in context: A203003 A135065 A067553 * A192030 A117879 A069549

Adjacent sequences:  A112680 A112681 A112682 * A112684 A112685 A112686

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 31 2005.

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.