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
5 4 3 2 1 6
5 4 3 2 7 1 6
5 4 3 8 2 7 1 6
5 4 9 3 8 2 7 1 6
MATHEMATICA
r = Sqrt[8];
t[n_] := Table[FractionalPart[k*r], {k, 1, n}];
f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@
Sort[t[n], Less]], {n, 1, 20}]] (* A194877 *)
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}]] (* A194878 *)
q[n_] := Position[p, n]; Flatten[Table[q[n],
{n, 1, 80}]] (* A194879 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Sep 04 2011
STATUS
approved