A066912 Fourth column of the Eulerian triangle A008292 in square array format.

0, 1, 26, 302, 2416, 15619, 88234, 455192, 2203488, 10187685, 45533450, 198410786, 848090912, 3572085255, 14875399450, 61403313100, 251732291184, 1026509354985, 4168403181210, 16871482830550, 68111623139600

Offset: 0

Author

Randall L Rathbun, Jan 22 2002

Keywords

• nonn

Crossrefs

Essentially the same as A000498.

Programs

PARI

a(n)=4^(n+3)-(n+4)*3^(n+3)+1/2*(n+3)*(n+4)*2^(n+3)-1/6*(n+2)*(n+3)*(n+4)

Formula

a(n) = 4^(n+3) - (n+4)*3^(n+3) + (1/2)*(n+3)*(n+4)*2^(n+3) - (1/6)*(n+2)*(n+3)*(n+4).

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2002