Relation between A011944 and A005246, A002531

[Ralf Stephan]

%Y A002531 Bisections are A001075 and A001834.





Rainer Rosenthal:
> A005246  A002531  Equal
>       1        1   x
>       1        1   x  = w(0) = w(h(0))
>       1        2
>       2        5
>       3
>       7        7   x  = w(2) = w(h(1))
>      11       19
>      26       26   x
>      41       71
>      97       97   x  = w(28) = w(h(2))
>     153      165
>     362      362   x
>     571      989
>    1351     1351   x  = w(390) = w(h(3))
>    2131     3691
>    5042     5042   x
>    7953    13775
>   18817    18817   x  = w(h(4))
>   29681    51409
>   70226    70226   x
>  110771   191861
>  262087   262087   x  = w(h(5))
>  413403   716035
>  978122   978122   x
> 1542841  2672279
> 3650401  3650401   x  = w(h(6))
> -------------------------------------------
> Table for comparing two sequences. 
> Legend:  w(h) = sqrt(12 h^2 + 1)
>          h = h(n) = A011944(n)
> 
> Once again I have been overwhelmed by the jewellerie
> of the OEIS.
> What sort of comment would you find appropriate for
> my findings? A005246 and A002531 are already connected
> by comments.