An extended triangle of Eulerian coefficients A123125: f(x,n)=x^(n+1)+1+A123125(x,n).

Terms

a(0) =1a(1) =2a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =1a(9) =1a(10) =1a(11) =1a(12) =4a(13) =1a(14) =1a(15) =1a(16) =1a(17) =11a(18) =11a(19) =1a(20) =1a(21) =1a(22) =1a(23) =26a(24) =66a(25) =26a(26) =1a(27) =1a(28) =1a(29) =1