[seqfan] Re: A009994

[Fred Lunnon]

  Maybe include this note to A009994 entry?    WFL



On 7/27/19, David Radcliffe <dradcliffe at gmail.com> wrote:
> The inequality holds when n is sufficiently large. The number of
> nonnegative integers with at most k digits in non-decreasing order is (k+9
> choose 9), which is less than k^10 for sufficiently large n. This means
> that a(k^10) must have more than k digits, so a(k^10) > 10^k, hence a(n) >
> 10^(n^(1/10)).
>
> On Sat, Jul 27, 2019 at 10:55 AM Fred Lunnon <fred.lunnon at gmail.com> wrote:
>
>> On 7/27/19, Павел Калугин <paul.kalug at gmail.com> wrote:
>> >
>> > Hello!
>> > Could you please explain me formula of http://oeis.org/A009994
>> > (
>> https://link.getmailspring.com/link/4B1E82F3-E7CD-4784-9AE7-42FA3B042F65@getmailspring.com/0?redirect=http%3A%2F%2Foeis.org%2FA009994&recipient=c2VxZmFuQGxpc3Quc2VxZmFuLmV1
>> )
>> > ? Because it seems wrong to me.
>> > exp(1000^(1/10)) is almost equal to 7, but a(1000) is definetely more
>> than
>> > 500.
>> >
>>
>>
>
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