A102147 Second Eulerian transform of 1, 2, 3, 4, 5, ... (A000027).

1, 1, 5, 35, 315, 3465, 45045, 675675, 11486475, 218243025, 4583103525, 105411381075, 2635284526875, 71152682225625, 2063427784543125, 63966261320836875, 2110886623587616875, 73881031825566590625

Offset: 1

Author

Ross La Haye, Feb 14 2005

Keywords

• nonn

References

• R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 256.

Crossrefs

Cf. A001147, A008517.

Apparently equals A051577(n-2), n > 1.

Formula

a(n) = Sum_{k=0..n} E(n,k) A000027(k), where E(n,k) is a second-order Eulerian number (A008517).