OFFSET
1,2
FORMULA
Numerators of lower triangle of (a[i, j])^4 where a[i, j] = A008284(i, j) / Partitions(i) if j<=i, 0 if j>i.
MATHEMATICA
rows = 7; m = Table[If[k <= n, Length[IntegerPartitions[n, {k}]]/PartitionsP[n], 0], {n, 1, rows}, {k, 1, rows}]; m4 = m.m.m.m; Table[fracs = m4[[i]]; nums = fracs // Numerator; dens = fracs // Denominator; lcm = LCM @@ dens; Table[nums[[j]]*lcm/dens[[j]], {j, 1, i}], {i, 1, rows}] // Flatten (* Jean-François Alcover, Mar 05 2013 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved