A039929 Second column of Fibonacci Jabotinsky-triangle A039692.

0, 1, 9, 59, 450, 4114, 43512, 528492, 7235568, 110499696, 1862118720, 34342356960, 688092312960, 14886351037440, 345878769358080, 8590707803462400, 227153424885811200, 6371121297516595200

Offset: 1

Author

Wolfdieter Lang

Keywords

• easy
• nonn

Comments

E.g.f.: (log(1-x-x^2))^2/2.

Crossrefs

Cf. A039692, A039647, A000032, A005442.

Programs

Mathematica

With[{nn=20},CoefficientList[Series[Log[1-x-x^2]^2/2,{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Jun 11 2017 *)

Formula

a(n) = A039692(n, 2); a(n) = (n-1)!*sum(L(j)*L(n-j)/(n-j), j=1..n-1), n >= 2, L(n)= A000032(n) (Lucas).