[net.math] series puzzle

wsmith@uiucdcsb.CS.UIUC.EDU (03/13/86)

Here is a series that might be fun to derive a closed form for:

0: -1
1: -1
2: -1
3: 17
4: 399
5: 7849
6: 162287
7: 3667649

Does it have a name?

Bill Smith
ihnp4!uiucdcs!wsmith
wsmith@b.cs.uiuc.edu

tim@ism780c.UUCP (Tim Smith) (03/15/86)

>Here is a series that might be fun to derive a closed form for:
>
>0: -1
>1: -1
>2: -1
>3: 17
>4: 399
>5: 7849
>6: 162287
>7: 3667649
>

Ok.

	1
F(n) = --- P(n)
	7!

		  7               6                5                  4
P(n) = 2,683,114 n  - 55,499,598 n  + 457,111,270 n  - 1,902,659,850 n  +

		       3                  2
	4,175,538,976 n  - 4,513,215,672 n  + 1,836,041,760 n - 5040


Is this what you had in mind? :-)
-- 
Tim Smith       sdcrdcf!ism780c!tim || ima!ism780!tim || ihnp4!cithep!tim