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A204260
Symmetric matrix given by f(i,j)=ceiling(i*j/(i+j)) .
3
1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 2, 3, 3, 4, 4, 4, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 4, 4, 4
OFFSET
1,8
EXAMPLE
Northwest corner:
1 1 1 1 1 1 1 1
1 1 2 2 2 2 2 2
1 2 2 2 2 2 3 3
1 2 2 2 3 3 3 3
1 2 2 3 3 3 3 4
1 2 2 3 3 3 4 4
MATHEMATICA
f[i_, j_] := Ceiling[i*j/(i + j)];
m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
TableForm[m[8]] (* 8x8 principal submatrix *)
Flatten[Table[f[i, n + 1 - i],
{n, 1, 12}, {i, 1, n}]] (* A204260 *)
Permanent[m_] :=
With[{a = Array[x, Length[m]]},
Coefficient[Times @@ (m.a), Times @@ a]];
Table[Permanent[m[n]], {n, 1, 14}] (* A204261 *)
CROSSREFS
Cf. A204261.
Sequence in context: A103958 A321696 A321020 * A122923 A113971 A109338
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Jan 14 2012
STATUS
approved