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

0,3

Links

Table of n, a(n) for n=0..20.

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).

Prog

(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)

Crossrefs

Essentially the same as A000498.

Sequence in context: A022718 A014472 A000498 * A359622 A015800 A276285

Adjacent sequences: A066909 A066910 A066911 * A066913 A066914 A066915

Keyword

nonn

Author

Randall L Rathbun, Jan 22 2002

Extensions

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

Status

approved