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A297827
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Difference sequence of A297826.
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3
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1, 5, 2, 2, 4, 3, 3, 1, 2, 4, 1, 4, 1, 6, 2, 1, 2, 6, 0, 2, 6, 0, 2, 2, 2, 4, 5, 2, 1, 2, 2, 2, 4, 3, 1, 2, 2, 2, 4, 3, 3, 3, 1, 2, 4, 1, 2, 2, 4, 5, 2, 3, 3, 1, 2, 4, 1, 6, 2, 3, 3, 1, 2, 4, 1, 4, 1, 4, 1, 6, 2, 1, 2, 6, 2, 3, 1, 2, 4, 1, 2, 2, 4, 3, 1, 4
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OFFSET
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1,2
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COMMENTS
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Conjectures:
(1) 0 <= a(k) <= 6 for k>=1;
(2) if d is in {0,1,2,3,4,5,6}, then a(k) = d for infinitely many k; for d = 0, see A297829.
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LINKS
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MATHEMATICA
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mex[list_, start_] := (NestWhile[# + 1 &, start, MemberQ[list, #] &]);
tbl = {}; a[0] = 1; a[1] = 2; b[0] = 3; b[1] = 4;
a[n_] := a[n] = a[1]*b[n - 1] - a[0]*b[n - 2] + n;
b[n_] := b[n] = mex[tbl = Join[{a[n], a[n - 1], b[n - 1]}, tbl], b[n - 1]];
u = Table[a[n], {n, 0, 300}](* A297826 *)
v = Table[b[n], {n, 0, 300}](* A297997 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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