[seqfan] About a problem of Bernardo Recamán Santos

[Claudio Meller]

Hi seqfans,
I found this problem in http://www.mathpuzzle.com/
A problem of squaresBernardo Recamán Santos: Find a four-digit square number
which has at least one digit in common with every other four-digit square
number. [A nice little problem.]So I think about this sequence :

Squares of k digits which has at least one digit in common with every other
k-digit square number.

6241, 20164, 92416, 124609,  128164,  132496,  162409,  165649,  186624,
195364,  196249,  209764,  214369,  244036,  258064,  264196,  268324,
326041,  346921,  351649,  362404,  395641,  401956,  436921,  495616,
541696,  543169,  605284,  628849,  643204,  648025,  651249,  652864,
669124,  687241,  822649,  824464,  868624,  1034289,  1036324,  1046529,
1054729,  1065024,  1073296,  1132096,  1162084,  1192464,  1205604,
1240996,  1247689,  1290496,  1354896,  1380625,  1406596,  1420864,
1432809,  1456849,  1459264,  1485961,  1507984,  1592644,  1605289,
1607824,  1630729,  1658944,  1669264,  1695204,  1836025,  1890625,
1915456,  1926544,  1943236,  1946025,  1965604,  1974025,  1982464,
2033476,  2039184,  2053489,  2067844,  2076481,  2079364,  2085136,
2096704,  2140369,  2143296,  2149156,  2196324,  2343961,  2390116,
2396304,  2405601,  2414916,  2433600,  2468041,  2480625,  2499561,
2540836,  2553604,  2614689,  2617924,  2630884,  2634129,  2647129,
2650384,  2683044,  2696164,  2709316,  2715904,  2893401,  2896804,
2903616,  2910436,  2917264,  2954961,  2961841,  3020644,  3048516,
3236401,  3243601,  3426201,  3481956,  3508129,  3594816,  3602404,
3621409,  3690241,  3814209,  3904576,  3924361,  4024036,  4032064,
4052169,  4056196,  4068289,  4100625,  4124961,  4145296,  4218916,
4243600,  4280761,  4305625,  4326400,  4351396,  4363921,  4389025,
4393216,  4507129,  4519876,  4601025,  4618201,  4626801,  4669921,
4691556,  4730625,  4826809,  4835601,  4853209,  4862025,  4910656,
4923961,  5004169,  5031049,  5161984,  5184729,  5294601,  5308416,
5391684,  5410276,  5461569,  5470921,  5531904,  5607424,  5659641,
5914624,  5948721,  6012304,  6091024,  6160324,  6215049,  6245001,
6285049,  6295081,  6320196,  6340324,  6395841,  6405961,  6431296,
6477025,  6487209,  6492304,  6512704,  6517809,  6734025,  6964321,
7086244,  7139584,  7203856,  7214596,  7284601,  7295401,  7349521,
7958041,  8042896,  8082649,  8162449,  8202496,  8305924,  8421604,
8439025,  8473921,  8526400,  8579041,  8590761,  8602489,  8661249,
8673025,  8904256,  8952064,  9024016,  9108324,  9126441,  9144576,
9241600,  9247681,  9296401,  9351364,  9357481,  9412624,  9492561,
9641025,  9872164,  9935104

Is it interesting ?
Can somebody check the terms?

Thenks,
-- 
Claudio