Ternary analogue of A094913?

[Maximilian Hasler]

Sorry for flooding you mailboxes... another (last(?)) word on this:
When I add 1 to the sequence (i.e. include the empty word) then I get
the sequence (for base=3)
vector(20,n,A094913(n,3)+1)
%3 = [2, 4, 7, 10, 14, 19, 25, 32, 40, 49, 58, 68, 79, 91, 104, 118,
133, 149, 166, 184]
which matches up to the "49" the sequence
http://www.research.att.com/~njas/sequences/A024536
%N A024536 [ (4th elementary symmetric function of P(n))/(3rd
elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2),
..., p(n-1)}, where p(0) = 1.

Unfortunately, that sequence lacks any comment or example or
explanation, I have some trouble in understanding its definition
(maybe my brain is too old or just a bit tired...) - could anybody
familiar with these notations elaborate on that ?
(are the [] the floor function? what is p(x) ?)
Thanks in advance.
M.H.

On Dec 11, 2007 8:48 AM, Maximilian Hasler <maximilian.hasler at gmail.com> wrote:
> I offer PARI code and some values based on the reasoning found in A094913:
>
> A094913(n,base=2)=sum(k=1,n,min(base^k,n-k+1))
>
> vector(20,n,A094913(n))
> %1 = [1, 3, 5, 8, 12, 16, 21, 27, 34, 42, 50, 59, 69, 80, 92, 105,
> 119, 134, 150, 166]
>
> vector(20,n,A094913(n,3))
> %2 = [1, 3, 6, 9, 13, 18, 24, 31, 39, 48, 57, 67, 78, 90, 103, 117,
> 132, 148, 165, 183]
>
> M.H.
>