OFFSET
0,4
COMMENTS
FORMULA
T(k,m) = numerator of F(k,m) = (1/(2*m-2*k+1)) * sum(i=0..2*k, binomial(m,2*k-i)*binomial(2*m-2*k+i,i) * Bernoulli(i)). - Ralf Stephan, Oct 10 2013
EXAMPLE
Numerators of
1,
-1/3, 1/3,
2/15, -1/3, 1/5,
-8/105, 1/3, -2/5, 1/7,
8/105, -4/9, 11/15, -10/21, 1/9,
-32/231, 8/9, -5/3, 29/21, -5/9, 1/11
MATHEMATICA
rows = 10; u[n_, m_] /; m > n = 0; u[n_, m_] := Binomial[2*n - m, m]*(2*n + 1)/(2*n - 2*m + 1); t = Table[u[n, m], {n, 0, rows - 1}, {m, 0, rows - 1}] // Inverse; Table[t[[n, k]] // Numerator, {n, 1, rows}, {k, 1, n}] // Flatten (* Jean-François Alcover, Oct 08 2013 *)
CROSSREFS
KEYWORD
AUTHOR
Paul Curtz, Oct 08 2013
EXTENSIONS
More terms from Jean-François Alcover, Oct 08 2013
STATUS
approved