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1, -2, 2, 1, 0, -1, -2, -3, -3, -2, -2, -1, -1, 0, 0, 1, 1, 2, 2, 3, 2, 2, 3, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, -1, -1, 0, -1, -1, 0, -1, -2, -2, -1, -2, -2, -1, -2, -3, -3, -2, -3, -3, -2, -3, -4, -4, -3, -3, -2, -3, -3, -2, -3, -4, -4, -3, -3
(list;
graph;
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listen;
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internal format)
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OFFSET
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0,2
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COMMENTS
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It has been checked that -9 <= a(n) <= 8 for n=1..6*10^6. Conjectures: every integer appears infinitely many times, and -2 < a(n) - a(n-1) < 2 for n > 2.
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LINKS
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MATHEMATICA
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a[0] = 1; a[1] = 2; b[0] = 3; b[1] = 4;
a[n_] := a[n] = a[0]*b[n - 1] + a[1]*b[n - 2];
j = 1; While[j < 20000, k = a[j] - j - 1;
While[k < a[j + 1] - j + 1, b[k] = j + k + 2; k++]; j++];
Table[a[n], {n, 0, k}]; (* A296220 *)
Take[Table[a[n] - 4 n, {n, 0, k}], 300] (* A297964 *)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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