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From: tim@ism780c.UUCP (Tim Smith)
Newsgroups: net.math
Subject: Re: series puzzle
Message-ID: <995@ism780c.UUCP>
Date: Sat, 15-Mar-86 01:05:54 EST
Article-I.D.: ism780c.995
Posted: Sat Mar 15 01:05:54 1986
Date-Received: Sun, 16-Mar-86 08:41:22 EST
References: <9700048@uiucdcsb>
Reply-To: tim@ism780c.UUCP (Tim Smith)
Organization: Interactive Systems Corp., Santa Monica, CA
Lines: 28

>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