Triangle of numerators of coefficients of the polynomial Q^(4)_m(n) defined by the recursion Q^(4)_0(n)=1; for m>=1,Q^(4)_m(n)=sum{i=1,...,n}i^4*Q^(4)_(m-1)(i). For m>=0, the denominator for all 5*m+1 terms of the m-th row is A202369(m+1).
A202749
Triangle of numerators of coefficients of the polynomial Q^(4)_m(n) defined by the recursion Q^(4)_0(n)=1; for m>=1,Q^(4)_m(n)=sum{i=1,...,n}i^4*Q^(4)_(m-1)(i). For m>=0, the denominator for all 5*m+1 terms of the m-th row is A202369(m+1).
Terms
- a(0) =1a(1) =6a(2) =15a(3) =10a(4) =0a(5) =-1a(6) =0a(7) =36a(8) =280a(9) =795a(10) =900a(11) =88a(12) =-450a(13) =-20a(14) =200a(15) =1a(16) =-30a(17) =0a(18) =19656a(19) =311220a(20) =1991430a(21) =6354075a(22) =9367722a(23) =1283100a(24) =-10854935a(25) =-1064700a(26) =16237338a(27) =615615a(28) =-16336320a(29) =-136500
External references
- oeis: A202749