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A063777
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t(n^2) is a square and sets a new record for such squares, where t(n) = (sigma(n)-n)*omega(n); or t(n)= A001065(n)*A001221(n).
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0
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1, 3, 49, 114, 290, 1266, 3026, 4587, 8642, 14949, 21504, 47976, 74535, 79922, 102818, 112960, 172658, 280226, 632018, 662546, 693794, 791858, 969698, 1516322, 1758962, 2128898, 2184626, 2298242, 2414738, 2594882, 2718578, 3106946, 3174194, 3450386, 3521234
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OFFSET
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1,2
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LINKS
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EXAMPLE
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t(49^2) = 400, a square.
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PROG
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(PARI) a=0; t(n) = (sigma(n)-n)*omega(n);
for(n=1, 10^7, x=t(n^2); if(issquare(x), b=x; if(b>a, a=b; print1(n, ", "))))
(PARI) t(n) = (sigma(n) - n)*omega(n);
{ n=0; a=-1; for (m=1, 10^9, if(issquare(b=t(m^2)), if(b>a, a=b; write("b063777.txt", n++, " ", m); if (n==31, break))) ) } \\ Harry J. Smith, Aug 31 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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