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A039686 Squares which are the concatenation of two nonzero squares. 7
49, 169, 361, 1225, 1444, 1681, 3249, 4225, 4900, 15625, 16900, 36100, 42025, 49729, 64009, 81225, 93025, 122500, 144400, 168100, 225625, 237169, 324900, 422500, 490000, 519841, 819025, 950625, 970225, 1024144, 1442401, 1562500 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Intersection of A191933 and A000290; A193095(a(n))>0 and A010052(a(n))=1. [Reinhard Zumkeller, Jul 17 2011]

REFERENCES

D. Wells, Curious and interesting numbers, Penguin Books, p. 152.

LINKS

David W. Wilson, Table of n, a(n) for n = 1..1000

EXAMPLE

1225=35^2, 225=15^2, 1=1^2.

MATHEMATICA

t = Table[n^2, {n, 750}]; f[j_, k_] := Block[{n = j*10^Floor[1 + Log10@ k] + k}, If[IntegerQ@ Sqrt@ n, n, 0]]; Take[ Union@ Flatten@ Table[ f[t[[j]], t[[k]]], {j, 250}, {k, 750}], {2, 33}] (* Robert G. Wilson v, July 18 2011 *)

PROG

(Haskell)

a039686 n = a039686_list !! (n-1)

a039686_list = filter ((== 1) . a010052) a191933_list

-- Reinhard Zumkeller, Jul 17 2011

CROSSREFS

Cf. A048375.

Sequence in context: A216870 A016922 A147608 * A038628 A158638 A198386

Adjacent sequences:  A039683 A039684 A039685 * A039687 A039688 A039689

KEYWORD

nonn,base,changed

AUTHOR

Felice Russo

EXTENSIONS

More terms from Patrick De Geest, 03/99.

STATUS

approved

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Last modified May 22 04:30 EDT 2013. Contains 225511 sequences.