# [seqfan] A possible list of new sequences

Vladimir Shevelev shevelev at bgu.ac.il
Sat May 1 13:12:04 CEST 2010

```I just have sent to OEIS the following two sequences :

%I A177025
%S A177025 1,1,1,2,1,1,2,2,1,2,1,1,3,2,1,2,1,1,3,2,1,2,2,1,2,3,1,2,1,1,2,2,2,4,1,
%T A177025 1,2,2,1,2
%N A177025 Number of k>=3 for which n is k-gonal number
%C A177025 Since n is always n-gonal number, then a(n)>=1. Conjecture. Every positive integer appears in the sequence.
%Y A177025 A000217 A000326 A000384 A000566 A000567 A176949 A176948 A176774 A176744 A176747 A176775 A175873 A176874
%K A177025 nonn
%O A177025 3,4
%A A177025 Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 01 2010

%I A177029
%S A177029 6,9,10,12,16,18,22,24,25,27,30,33,34,35,39,40,42
%N A177029 Numbers m for which A177025(m)=2
%C A177029 Numbers u for which A177025(u)=1 are listed by A090467.
%Y A177029 A177025 A090467 A177028 A000217 A000326 A000384 A000566 A000567 A176949 A176948 A176774 A176744 A176747 A176775 A175873 A176874
%K A177029 nonn
%O A177029 1,1
%A A177029 Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 01 2010

Thus A177029 is the second sequence after A090467 which lists numbers m=m(k) of the form A177025(m)=k, k=1,2,...

If anyone can to continue this list for k=3 (15,21,28,55,91,...), k=4 (36,45,66,...), etc.?

Best regards,