A108571: Total number of terms, correction.

[Antti Karttunen]

> zak seidov wrote:
>
>> Dear seqfans,
>>
>> Anybody may wish to check these results:
>>
>> Mumber of n-digit terms in A108571: (n=1..45)
>>
>> 1,1,4,5,16,82,169,541,2272,17965,44407,201751,801515,4890886,52218595,165519640,835947970,...
>
>
I wrote:

>
> Alternatively, one could consider vectors of arbitrarily large integers,
> not decimal numbers with max. digit 9, and this "sequence of vectors" 
> would begin
> just like A108571, and the "number of n-element vectors matching the 
> criteria"
> would begin like your sequence. Actually, I think it should be this:
> http://www.research.att.com/~njas/sequences/A007837
> "Number of partitions of n-set with distinct block sizes."
> which begins as
> 1, 1, 4, 5, 16, 82, 169, 541, 2272, 17966, 44419,
> i.e. differs from your sequence at a(11)=44419, which is not a 
> coincidence. .-)
>
Actually at a(10), which restores my sanity!
(The term "T^10", where T is "digit" for ten, does not occur among A108571.)

> Cheers,
> and Happy Beginning of the New Year,
>
> Antti
>
>
>