[seqfan] Re: Formulas needed for new sequence.
Ed Jeffery
ed.jeffery at yahoo.com
Wed Jun 29 18:48:11 CEST 2011
Thanks for those references, Paolo. I'll study them as time permits. If your formula works, then it is a closed form expression.
The range of n for my formula for C_k(n) should have been written as n=k,k+1,k+2,....
Finally, there is an obvious, trivial expression for T(n,k) based on either A056520(n) or A000300(n)+1:
T(n,k)=A056520(n)+k*(n+2)=A000300(n)+k*(n+2)+1, k in {0,...,n}, n>0,
with T(0,0)=1, giving the triangle
1
2, 5,
6, 10, 14,
etc.,
but this is not illuminating.
Ed Jeffery
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