Gives the i-th coefficient M(k,i) of the decomposition of the polynomials B(k,X^2) in the basis of all B(i,X), where B(i,X) is the i-th binomial polynomial: B(i,X) = X(X-1)...(X-i+1)/i! for any i > 0 and B(0,X) = 1 by definition.

A100344

Gives the i-th coefficient M(k,i) of the decomposition of the polynomials B(k,X^2) in the basis of all B(i,X), where B(i,X) is the i-th binomial polynomial: B(i,X) = X(X-1)...(X-i+1)/i! for any i > 0 and B(0,X) = 1 by definition.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =2a(4) =0a(5) =0a(6) =6a(7) =18a(8) =12a(9) =0a(10) =0a(11) =4a(12) =72a(13) =248a(14) =300a(15) =120a(16) =0a(17) =0a(18) =1a(19) =123a(20) =1322a(21) =4800a(22) =7800a(23) =5880a(24) =1680a(25) =0a(26) =0a(27) =0a(28) =126a(29) =3864

External references