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COMMENTS
| With formula a(n)=(5*6^n+0^n)/6, this is the binomial transform of A083425. - Paul Barry (pbarry(AT)wit.ie), Apr 30 2003
For n>=1, a(n) is equal to the number of functions f:{1,2...,n}->{1,2,3,4,5,6} such that for a fixed x in {1,2,...,n} and a fixed y in {1,2,3,4,5,6} we have f(x)<>y. - Aleksandar M. Janjic and Milan R. Janjic (agnus(AT)blic.net), Mar 27 2007
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 03 2010: (Start)
a(n) = (n+1) terms in the sequence (1, 4, 5, 5, 5,...) dot (n+1) terms in the
sequence (1, 1, 5, 30, 180, 1080,...). Example: a(4) = (1, 4, 5, 5, 5) dot
(1, 1, 5, 30, 180) = (1 + 4 + 25 + 150 + 900), where (1, 4, 25, 150,...) =
first differences of A052934. (End)
a(n) is the number of compositions of n when there are 5 types of each natural number. [From Milan R. Janjic (agnus(AT)blic.net), Aug 13 2010]
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MAPLE
| spec := [S, {S=Sequence(Prod(Sequence(Z), Union(Z, Z, Z, Z, Z)))}, unlabeled ]: seq(combstruct[count ](spec, size=n), n=0..20);
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