Triangle, read by rows, where the g.f. of row n equals the sum of permutations of compositions of functions (1 + k*y*x) for k=1..n with parameter y independent of variable x, as evaluated at x=1.

A277408

Triangle, read by rows, where the g.f. of row n equals the sum of permutations of compositions of functions (1 + k*y*x) for k=1..n with parameter y independent of variable x, as evaluated at x=1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =4a(6) =6a(7) =12a(8) =22a(9) =36a(10) =24a(11) =60a(12) =140a(13) =300a(14) =576a(15) =120a(16) =360a(17) =1020a(18) =2700a(19) =6576a(20) =14400a(21) =720a(22) =2520a(23) =8400a(24) =26460a(25) =77952a(26) =211680a(27) =518400a(28) =5040a(29) =20160

External references