duplicates
Ralf Stephan
ralf at ark.in-berlin.de
Mon Jun 13 09:32:35 CEST 2005
> 1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1
> A039966 An example of a d-perfect sequence.
> A104405 Number of partitions of n into distinct powers of 3.
> ??
>
> ID Number: A104405
> can be described as characteristic function of numbers with no "2"
> in their ternary representation
>
> ID Number: A039966
> can be described as A005043(n-1) mod 3
>
> ID Number: A005043 (Formerly M2587)
> Name: Motzkin sums: a(n) = (n-1)*(2*a(n-1)+3*a(n-2))/(n+1). Also called
> Riordan numbers or ring numbers.
If this is so then they are identical. Any sequence with
algebraic g.f.(eg A005043) mod p is p-regular (see Allouche/Shallit)
and A104405 is obviously 3-regular.
ralf
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