A143170 Fifth column of triangle A000369: |S2(-3;n+5,5)|.

1, 45, 1680, 62790, 2471175, 104085135, 4712781150, 229345716600, 11970744110325, 668241679730625, 39773331191493900, 2516317288024790250, 168723807382851595875, 11956978164372003637875, 893260022082269487896250, 70178395183380972653665500

Offset: 0

Author

Wolfdieter Lang, Sep 15 2008

Keywords

• nonn
• easy

Crossrefs

Fourth column of A000369 is A143169.

Formula

a(n) = A000369(n+5,5) = |S2(-3;n+5,5)|, n >= 0.

E.g.f.: d^5/dx^5 ((1-(1-4*x)^(1/4))^5)/5! = (1/4)*(539+154*x+585*(1-4*x)^(1/2)-1120*(1-4*x)^(1/4))/(1-4*x)^(19/4).