Sequence-counting sequence

David Wilson davidwwilson at comcast.net
Sat Sep 10 09:43:06 CEST 2005


Let a(n) count the number of finite sequences (s(0), s(1), ..., s(n)) 
satisfying

s(k) >= 0  (0 <= k <= n)
s(0) = 0
|s(k)-s(k-1)| = k  (1 <= k <= n)

Is there a closed form for a(n)?

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- David Wilson 






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