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A155582
See Mathematica program for definition.
1
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 7, 2, 1, 1, 3, 3, 3, 3, 1, 1, 6, 9, 20, 9, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 8, 28, 56, 70, 56, 28, 8, 1, 1, 5, 36, 84, 126, 126, 84, 36, 5, 1, 1, 10, 25, 120, 210, 252, 210, 120, 25, 10, 1
OFFSET
0,5
EXAMPLE
{1},
{1, 1},
{1, 2, 1},
{1, 3, 3, 1},
{1, 2, 7, 2, 1},
{1, 3, 3, 3, 3, 1},
{1, 6, 9, 20, 9, 6, 1},
{1, 7, 21, 35, 35, 21, 7, 1},
{1, 8, 28, 56, 70, 56, 28, 8, 1},
{1, 5, 36, 84, 126, 126, 84, 36, 5, 1},
{1, 10, 25, 120, 210, 252, 210, 120, 25, 10, 1}
MATHEMATICA
a[0] = 1;
a[n_] := a[n] = ((4*n - 2)/(n + 1))*a[n - 1];
b[0] = 1;
b[n_] := b[n] = If[IntegerQ[((3*n - 2)/(n + 1))*b[n - 1]], ((3*n - 2)/(n + 1))*b[n - 1], If[IntegerQ[((4*n - 2)/( n + 1))*b[n - 1]], ((4*n - 2)/(n + 1))*b[n - 1], n*b[n - 1]]];
c[0] = 1;
c[n_] := c[n] = If[IntegerQ[((6*n - 4)/(n + 1))*c[n - 1]], ((6*n - 4)/(n + 1))*c[n - 1], If[IntegerQ[((4*n - 2)/(n + 1))*c[n - 1]], ((4*n - 2)/(n + 1))*c[n - 1], n*c[n - 1]]];
t[n_, m_] := t[n, m] = If[IntegerQ[a[n]/(a[m]*a[n - m])], a[n]/(a[m]*a[n - m]), If[IntegerQ[b[ n]/(b[m]*b[n - m])], b[n]/(b[m]* b[n - m]), If[IntegerQ[ c[n]/(c[m]*c[n - m])], c[n]/(c[m]*c[n - m]), Binomial[n, m]]]];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
CROSSREFS
Sequence in context: A204087 A080381 A080396 * A169946 A160832 A351522
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, Jan 24 2009
STATUS
approved