

A232557


Square numbers whose sum of proper square divisors is also square greater than 1.


3



900, 4900, 10404, 79524, 81796, 417316, 532900, 846400, 1542564, 2464900, 3232804, 3334276, 3496900, 12432676, 43850884, 50836900, 51811204, 71470116, 107453956, 236975236, 253892356, 432889636, 544102276, 864948100, 1192597156, 1450543396
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OFFSET

1,1


COMMENTS

This sequence is a subsequence of A232556.


LINKS

Table of n, a(n) for n=1..26.


EXAMPLE

10404 = 102^2 is a square number. Sum of proper square divisor of 10404 is 2601 + 1156 + 289 + 36 + 9 + 4 + 1 = 4096 = 64^2.


PROG

(PARI){for(n=1, 10^5, m=n*n; k=sumdiv(m, d, d*issquare(d)*(d<m)); if(issquare(k)&&k>>1, print(m)))}


CROSSREFS

Cf. A232554, A232555, A232556.
Sequence in context: A246887 A232556 A069096 * A119541 A173486 A258155
Adjacent sequences: A232554 A232555 A232556 * A232558 A232559 A232560


KEYWORD

nonn


AUTHOR

Antonio Roldán, Nov 26 2013


STATUS

approved



