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A163264 Highly composite numbers that are the product of consecutive integers. 3
2, 6, 12, 24, 60, 120, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 15120, 20160, 50400, 55440, 166320, 332640, 665280, 2162160, 3603600, 4324320, 8648640, 17297280, 32432400, 43243200 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Intersection of A002182 and A045619. Some of these numbers have two representations as the product of consecutive integers. The shortest representation is shown in the examples below. This sequence is probably complete.
LINKS
EXAMPLE
2=1*2, 6=2*3, 12=3*4, 24=2*3*4, 60=3*4*5, 120=4*5*6, 240=15*16, 360=3*4*5*6, 720=8*9*10, 840=4*5*6*7, 1260=35*36, 1680=5*6*7*8, 2520=3*4*5*6*7, 5040=7*8*9*10, 15120=5*6*7*8*9, 20160=3*4*5*6*7*8, 50400=224*225, 55440=7*8*9*10*11, 166320=54*55*56, 332640=6*7*8*9*10*11, 665280=7*8*9*10*11*12, 2162160=9*10*11*12*13*14, 3603600=10*11*12*13*14*15, 4324320=2079*2080, 8648640=7*8*9*10*11*12*13, 17297280=63*64*65*66, 32432400=9*10*11*12*13*14*15, 43243200=350*351*352.
CROSSREFS
Sequence in context: A122863 A170935 A277173 * A335327 A163895 A309016
KEYWORD
nonn
AUTHOR
T. D. Noe, Jul 28 2009
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)