Triangle P, read by rows, that satisfies [P^5](n,k) = P(n+1,k+1) for n>=k>=0, also [P^(5*m)](n,k) = [P^m](n+1,k+1) for all m, where [P^m](n,k) denotes the element at row n, column k, of the matrix power m of P, with P(0,k)=1 and P(k,k)=1 for all k>=0.

A111820

Triangle P, read by rows, that satisfies [P^5](n,k) = P(n+1,k+1) for n>=k>=0, also [P^(5*m)](n,k) = [P^m](n+1,k+1) for all m, where [P^m](n,k) denotes the element at row n, column k, of the matrix power m of P, with P(0,k)=1 and P(k,k)=1 for all k>=0.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =1a(6) =1a(7) =55a(8) =25a(9) =1a(10) =1a(11) =2055a(12) =1525a(13) =125a(14) =1a(15) =1a(16) =291430a(17) =311525a(18) =38875a(19) =625a(20) =1a(21) =1a(22) =165397680a(23) =239305275a(24) =40338875a(25) =975625a(26) =3125a(27) =1a(28) =1a(29) =390075741430

External references