Squares in EKG: Increasing order?

[Alexander Povolotsky]

Zak, -

Is it possible (did you see it ?) that the order of squares is not only
always increasing but that it always increasing strictly in consecutive
sequential order of the numbers,  which form those squares, for example:

 A064413(6) = 3^2; A064413((17)=4^2 so 4-3=1
?

Alex P.

On Sat, May 10, 2008 at 2:21 AM, zak seidov <zakseidov at yahoo.com> wrote:

> Dear SF gurus,
> do the squares appear in increasing order?
> more terms?
> thanks, zak
>
> %N A1 Positions of squares in  EKG sequence A064413
> %S A1
>
> 1,3,6,17,24,30,50,64,76,86,124,136,171,180,209,240,290,303,359,385,417,436,521,547,595,643,696,747,823,850,947,982,1022,1102,1171,1234,1313,1381,1453,1525,1642,1688,1810,1855,1931,2033,2168,2203,2306,2387,2491,2591,2736,2791,2904,3013,3125,3230,3398,3450,3638,3689,3804,3932,4062,4182,4379,4411,4575,4719,4913,4981,5207,5271,5418,5565,5711,5851,6072,6153,6312,6481,6710,6787,6954,7130,7296,7458,7717,7803,7992,8161,8311,8514,8702,8879,9165,9263,9427,9637
>
> %C A1 Conjecture: the squares appear in increasing
> order.
> %Y A1 A064413
> %A A1  Zak Seidov (zakseidov at yahoo.com), May 10 2008
>
>
>
>
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