Squares in EKG: Increasing order?

[Jacques Tramu]

> From: "zak seidov" <zakseidov at yahoo.com>
> do the squares appear in increasing order?
> more terms?
> %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,..
> %C A1 Conjecture: the squares appear in increasing
> order.

More terms  of  positions of squares, computing A064413 up to n = 20000 
(squares always in increasing order) :

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,
9929,10025,10298,10435,10632,10813,11144,11252,11568,11676,11856,12110,12430,12542,12759,12930,13223,13443,13668,
13899,14138,14357,14538,14854,15081,15321,15694,15820,16074,16326,16696,16826,17100,17348,17604,17868,18268,18413,
18799,18934,19226,19361,19763


Regards,
JT.

------------------------------------------------------------
Rien à voir, but  if  you  like  Recaman's sequence (A005132 ),
take a look at the following picture :
http://www.echolaliste.com/gbnums/eois.htm