Offsets of tables
David Wasserman
dwasserm at earthlink.com
Sun Jun 26 23:56:51 CEST 2005
I believe the offset should be the initial value of the first variable.
Have you looked over other tables in OEIS to see what notation they use?
- David
>I just submitted the sequence below, which is an array read off by
>diagonals.
>
>But the purpose of this post is not the sequence itself, but is to ask
>how a sequence's offset should be submitted when the sequence is from a 2
>(or more) dimensional table and the offsets for different indexes are not
>necessarily the same.
>(In my example, n starts at 0, m starts at 1.)
>
>thanks,
>Leroy Quet
>
> >%S A000001 1,1,1,1,3,2,1,5,11,6,1,7,26,50,24
> >%N A000001 a(m,n) = m!*H(n,m), where H(n,m) is a higher order harmonic
> >number.
> >(H(0,m) = 1/m. H(n,m) = sum{k=1 to m} H(n-1,k).)
> >%C A000001 In array m index runs from 1 on, n index runs from 0 on.
> >%F A000001 a(m,n) = (H_{m+n-1}-H_{n-1})(m+n-1)!/(n-1)!,
> >where H_k = H(1,k), a standard harmonic number.
> >Array is read off by diagonals.
> >%e A000001 a(2,3) = (1 + (1 +1/2) + (1 +1/2 +1/3))*6 = 26.
> >%Y A000001 A000254
> >%O A000001 0
> >%K A000001 ,easy,more,nonn,tabl,
> >%A A000001 Leroy Quet (qq-quet at mindspring.com), Jun 26 2005
> >RH
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