Triangle of numerators of coefficients of the polynomial Q^(2)_m(n) defined by the recursion Q^(2)_0(n)=1; for m>=1, Q^(2)_m(n) = Sum_{i=1..n} i^2*Q^(2)_(m-1)(i). For m>=0, the denominator for all 3*m+1 terms of the m-th row is A202367(m+1).

A175669

Triangle of numerators of coefficients of the polynomial Q^(2)_m(n) defined by the recursion Q^(2)_0(n)=1; for m>=1, Q^(2)_m(n) = Sum_{i=1..n} i^2*Q^(2)_(m-1)(i). For m>=0, the denominator for all 3*m+1 terms of the m-th row is A202367(m+1).

Terms

    a(0) =1a(1) =2a(2) =3a(3) =1a(4) =0a(5) =20a(6) =96a(7) =155a(8) =90a(9) =5a(10) =-6a(11) =0a(12) =280a(13) =2772a(14) =10518a(15) =18711a(16) =14385a(17) =1323a(18) =-2863a(19) =-126a(20) =360a(21) =0a(22) =2800a(23) =47040a(24) =323336a(25) =1157760a(26) =2238855a(27) =2050020a(28) =207158a(29) =-810600

External references