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A048428 a(n)^2 is a square composed of three '2 digit' overlapping subsquares. 1

%I

%S 475,144003,180275,684475,940046,2593211,4750782,4753125,9600192,

%T 10400192,14600128,15002385,15400128,25005012,25005414,39529017,

%U 66466485,85002046,91390165,119600016,120400016,145002533,180027625,194001555,196000703,269400016,270600016

%N a(n)^2 is a square composed of three '2 digit' overlapping subsquares.

%C Subsquares with leading and/or trailing zeros not included. Subsquares must be at least 3 digits long.

%C Solutions

%C n........a(n)....A048427(n) annotated

%C 1.........475................2{256}25

%C 2......144003.........207{36}8{64}009

%C 3......180275.........32{49}907{56}25

%C 4......684475..........4685060{256}25

%C 5......940046........88{36}8{64}82116

%C 6.....2593211.......67{24}743{29}0521

%C 7.....4750782......2{25}69929{61}1524

%C 8.....4753125......2{25}9{21}97265625

%C 9.....9600192......92{16}36864{36}864

%C 10...10400192.....108{16}39936{36}864

%C 11...14600128.....213{16}37376{16}384

%C 12...15002385.....2{25}07155{56}88225

%C 13...15400128.....237{16}39424{16}384

%C 14...25005012.....6{25}2506{25}120144

%C 15...25005414.....6{25}2707{29}311396

%C 16...39529017....156{25}4318{49}86289

%C 17...66466485....4{41}779{36}28255225

%C 18...85002046....72{25}34782{41}86116

%C 19...91390165....835{21}62{25}8727225

%C 20..119600016...14304{16}3827200{25}6

%C 21..120400016...14496{16}3852800{25}6

%C 22..145002533...210{25}73457{64}16089

%C 23..180027625...3{24}09945{76}3140625

%C 24..194001555...376{36}60334{24}18025

%C 25..196000703...384{16}275576{49}4209

%C 26..269400016...72576{36}8620800{25}6

%C 27..270600016...73224{36}8659200{25}6

%C 28..294000702...864{36}412776{49}2804

%C 29..312433184...9761{44}9{44}64377856

%C 30..320016025..10{24}10256{25}6800625

%C - _Lars Blomberg_, May 17 2015

%e 180275^2 = 32499075625 = 32{49}907{56}25; 3249 and 4990756 and 5625 = 57^2 and 2234^2 and 75^2.

%Y Cf. A048427.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Apr 15 1999

%E Changed offset to 1 and a(7)-a(27) from _Lars Blomberg_, May 17 2015

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Last modified December 3 20:56 EST 2020. Contains 338920 sequences. (Running on oeis4.)