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A048428 a(n)^2 is a square composed of three '2 digit' overlapping subsquares. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A252518 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

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Last modified October 27 06:09 EDT 2020. Contains 338035 sequences. (Running on oeis4.)