Search: a076711 -id:a076711
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A101755
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Indices of highly composite triangular numbers.
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+10
4
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1, 2, 3, 7, 8, 15, 24, 32, 35, 63, 80, 104, 224, 384, 560, 935, 1224, 1664, 1728, 2015, 2079, 5984, 12375, 14399, 21735, 41040, 78624, 98175, 123200, 126224, 165375, 201824, 313599, 395199, 453375, 1056159, 1154439, 1324224, 1890944, 2203200, 2756159, 6969599
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listen;
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OFFSET
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1,2
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LINKS
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FORMULA
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PROG
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(PARI) r=0; for(n=1, 1e7, t=if(n%2, numdiv(n)*numdiv((n+1)/2), numdiv(n/2)*numdiv(n+1)); if(t>r, r=t; print1(n", "))) \\ Charles R Greathouse IV, Feb 01 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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A101756
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Number of divisors of highly composite triangular numbers.
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+10
4
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1, 2, 4, 6, 9, 16, 18, 20, 24, 36, 40, 48, 90, 112, 128, 144, 162, 168, 192, 240, 320, 480, 576, 648, 768, 1024, 1280, 1344, 1512, 1536, 1728, 1920, 2304, 2880, 3072, 3200, 3456, 3888, 4480, 5760, 6144, 6912, 7680, 8640, 9216, 13824, 16128, 23040, 25088
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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FORMULA
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PROG
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(PARI) t1=1; r=0; for(n=1, 2e9, t2=n+1; t2=numdiv(t2/if(n%2, 2, 1)); if(t1*t2>r, r=t1*t2; print1(r", ")); t1=t2) \\ Charles R Greathouse IV, Feb 01 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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