Triangle read by rows. Let S(k) be the sequence defined by F(0)=0, F(1)=1, F(n-1) + (n+k)*F(n) = F(n+1). E.g. S(0) = 0, 1, 1, 3, 10, 43, 225, 1393, 9976, 81201, ... Then S(0), S(1), S(2), ... are written vertically, next to each other, with the initial term of each on the next row down.

A102472

Triangle read by rows. Let S(k) be the sequence defined by F(0)=0, F(1)=1, F(n-1) + (n+k)*F(n) = F(n+1). E.g. S(0) = 0, 1, 1, 3, 10, 43, 225, 1393, 9976, 81201, ... Then S(0), S(1), S(2), ... are written vertically, next to each other, with the initial term of each on the next row down.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =2a(5) =1a(6) =10a(7) =7a(8) =3a(9) =1a(10) =43a(11) =30a(12) =13a(13) =4a(14) =1a(15) =225a(16) =157a(17) =68a(18) =21a(19) =5a(20) =1a(21) =1393a(22) =972a(23) =421a(24) =130a(25) =31a(26) =6a(27) =1a(28) =9976a(29) =6961

External references