A163264 - OEIS

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A163264

Highly composite numbers that are the product of consecutive integers.

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

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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

Table of n, a(n) for n=1..28.

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

Cf. A002182, A045619, A064224.

Sequence in context: A122863 A170935 A277173 * A335327 A163895 A309016

Adjacent sequences: A163261 A163262 A163263 * A163265 A163266 A163267

KEYWORD

nonn

AUTHOR

T. D. Noe, Jul 28 2009

STATUS

approved