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Horoscope Hijinks I (Posted on 2006-11-28) Difficulty: 4 of 5
The twelve signs of the horoscope (AQUARIUS, ARIES, and so on) run a race along the Zodiac. In how many different ways can the race end, if ties are possible?

See The Solution Submitted by Federico Kereki    
Rating: 3.0000 (1 votes)

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re(2): Smaller Zodiacs | Comment 6 of 7 |
(In reply to re: Smaller Zodiacs by tomarken)

It looks like the simplest formula given in Sloane for this sequence is

Recurrence : a(n+1) = 1 + sum { j=1, n, binomial(n+1, j)*a(j) } - Jon Perry (perry(AT), Apr 25 2005

I haven't implemented it yet to verify it.

  Posted by Charlie on 2006-11-28 16:08:21
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