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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..65.

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 A157458

Adjacent sequences:  A155579 A155580 A155581 * A155583 A155584 A155585

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Jan 24 2009

STATUS

approved

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Last modified June 12 14:45 EDT 2021. Contains 344957 sequences. (Running on oeis4.)