[seqfan] Re: An interesting sequence

[jens at voss-ahrensburg.de]

a(11) = 5 since 11 = (25 + 16 + 9 + 4 + 1) / 5.

Am 2023-04-16 12:07, schrieb Fred Lunnon:
> << only a(2), a(3), a(6), a(8), a(12) are 0 >>
> 
> What about  n = 11  ?!     WFL
> 
> 
> 
> On Sun, Apr 16, 2023 at 6:07 AM Yifan Xie <xieyifan4013 at 163.com> wrote:
> 
>> Hi,
>> a(n) is the smallest positive integer x such that n can be expressed 
>> as
>> the arithmetic mean of x distinct nonzero squares, or 0 if x does not
>> exist. Based on my calculation of a(1) to a(76) by hand, only a(2), 
>> a(3),
>> a(6), a(8), a(12) are 0 and no terms are larger than 5.
>> Please consider this sequence, and if possible, provide a program for 
>> me.
>> 
>> Best regards,
>> Yifan Xie (xieyifan4013 at 163.com)