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A232555 Nonsquare numbers whose sum of proper square divisors is a square greater than 1. 3
3528, 5292, 8820, 10584, 12348, 17640, 19404, 22932, 24696, 26460, 29988, 33516, 37044, 38808, 40572, 45864, 51156, 52920, 54684, 58212, 59976, 61740, 65268, 67032, 68796, 72324, 74088, 75852, 81144, 82908, 89964, 93492, 97020, 100548, 102312, 104076, 107604 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is a subsequence of A232556.

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

8820 is nonsquare number. Sum of proper square divisor: 1764 + 441 + 196 + 49 + 36 + 9 + 4 + 1 = 2500 = 50^2.

PROG

(PARI){for(n=1, 10^5, if(issquare(n)==0, k=sumdiv(n, d, d*issquare(d)); if(issquare(k)&&k>>1, print(n))))}

CROSSREFS

Cf. A232554, A232556, A232557.

Sequence in context: A241240 A035897 A064256 * A035779 A108003 A176139

Adjacent sequences:  A232552 A232553 A232554 * A232556 A232557 A232558

KEYWORD

nonn

AUTHOR

Antonio Roldán, Nov 26 2013

STATUS

approved

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Last modified January 23 00:58 EST 2018. Contains 298093 sequences.