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A066201
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Array read by antidiagonals upwards: for n-th row (n>=0), T(n,0) = 1; for k > 0, T(n,k) = T(n,k-1)-(n+k-1) if this is positive and has not already appeared in this row, otherwise T(n,k) = T(n,k-1)+(n+k-1).
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6
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1, 1, 1, 1, 2, 2, 1, 3, 4, 4, 1, 4, 6, 7, 7, 1, 5, 8, 2, 3, 3, 1, 6, 10, 3, 7, 8, 8, 1, 7, 12, 4, 9, 13, 14, 14, 1, 8, 14, 5, 11, 2, 20, 21, 21, 1, 9, 16, 6, 13, 3, 10, 12, 13, 13, 1, 10, 18, 7, 15, 4, 12, 19, 21, 22, 22, 1, 11, 20, 8, 17, 5, 14, 2, 29, 11, 12, 12
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,5
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LINKS
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Seiichi Manyama, Antidiagonals n = 0..139, flattened
Index entries for sequences related to Recamán's sequence
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EXAMPLE
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Array begins
1, 1, 2, 4, 7, 3, 8, 14, 21, 13, ...
1, 2, 4, 7, 3, 8, 14, 21, 13, 22, ...
1, 3, 6, 2, 7, 13, 20, 12, 21, 11, ...
1, 4, 8, 3, 9, 2, 10, 19, 29, 18, ...
1, 5, 10, 4, 11, 3, 12, 2, 13, 25, ...
1, 6, 12, 5, 13, 4, 14, 3, 15, 2, ...
1, 7, 14, 6, 15, 5, 16, 4, 17, 3, ...
1, 8, 16, 7, 17, 6, 18, 5, 19, 4, ...
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MATHEMATICA
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T[_, 0] = 1; T[n_, k_] := T[n, k] = If[t = T[n, k-1] - (n+k-1); t > 0 && FreeQ[Table[T[n, j], {j, 0, k-1}], t], t, T[n, k-1] + (n+k-1)]; Table[ T[n-k, k], {n, 0, 12}, {k, 0, n}] // Flatten (* Jean-François Alcover, Feb 18 2018 *)
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CROSSREFS
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Rows give A063733, A063733, A005132, A066199, A066200.
Sequence in context: A118032 A089692 A349346 * A303273 A193820 A216368
Adjacent sequences: A066198 A066199 A066200 * A066202 A066203 A066204
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KEYWORD
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nonn,easy,tabl,look
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AUTHOR
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N. J. A. Sloane, Dec 16 2001
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 05 2003
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STATUS
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approved
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