OFFSET
1,2
COMMENTS
See A194832 for a general discussion.
EXAMPLE
First nine rows:
1;
2, 1;
3, 2, 1;
4, 3, 2, 1;
5, 4, 3, 2, 1;
6, 5, 4, 3, 2, 1;
7, 6, 5, 4, 3, 2, 1;
7, 6, 5, 4, 3, 2, 1, 8;
7, 6, 5, 4, 3, 2, 9, 1, 8;
MATHEMATICA
r = -Pi;
t[n_] := Table[FractionalPart[k*r], {k, 1, n}];
f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@
Sort[t[n], Less]], {n, 1, 20}]] (* A194908 *)
TableForm[Table[Flatten[(Position[t[n], #1] &) /@
Sort[t[n], Less]], {n, 1, 15}]]
row[n_] := Position[f, n];
u = TableForm[Table[row[n], {n, 1, 20}]]
g[n_, k_] := Part[row[n], k];
p = Flatten[Table[g[k, n - k + 1], {n, 1, 13},
{k, 1, n}]] (* A194909 *)
q[n_] := Position[p, n]; Flatten[Table[q[n],
{n, 1, 80}]] (* A194910 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Sep 05 2011
STATUS
approved