Rectangular table of coefficients T(k,n) in row functions R(k,x) = Sum_{n>=0} T(k,n)*x^n that satisfy the condition: Sum_{n>=0} x^n/(1 - x*R(k,x)^(n+k)) = Sum_{n>=0} x^n*R(k,x)^n/(1 - x*R(k,x)^(k*n+k-1)), for k >= 0, read here by antidiagonals.

A340940

Rectangular table of coefficients T(k,n) in row functions R(k,x) = Sum_{n>=0} T(k,n)*x^n that satisfy the condition: Sum_{n>=0} x^n/(1 - x*R(k,x)^(n+k)) = Sum_{n>=0} x^n*R(k,x)^n/(1 - x*R(k,x)^(k*n+k-1)), for k >= 0, read here by antidiagonals.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =2a(9) =3a(10) =1a(11) =1a(12) =3a(13) =9a(14) =10a(15) =1a(16) =1a(17) =4a(18) =18a(19) =46a(20) =36a(21) =1a(22) =1a(23) =5a(24) =30a(25) =126a(26) =253a(27) =137a(28) =1a(29) =1

External references