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

475, 144003, 180275, 684475, 940046, 2593211, 4750782, 4753125, 9600192, 10400192, 14600128, 15002385, 15400128, 25005012, 25005414, 39529017, 66466485, 85002046, 91390165, 119600016, 120400016, 145002533, 180027625, 194001555, 196000703, 269400016, 270600016

Offset

1,1

Comments

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

Solutions

n........a(n)....A048427(n) annotated

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

- Lars Blomberg, May 17 2015

Links

Table of n, a(n) for n=1..27.

Example

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

Crossrefs

Cf. A048427.

Sequence in context: A365871 A210048 A263705 * A253395 A171077 A234077

Adjacent sequences: A048425 A048426 A048427 * A048429 A048430 A048431

Keyword

nonn,base

Author

Patrick De Geest, Apr 15 1999

Extensions

Changed offset to 1 and a(7)-a(27) from Lars Blomberg, May 17 2015

Status

approved