A032770 - OEIS

A032770

Integer quotients of n(n + 1)(n + 2)(n + 3)(n + 4) / (n+(n+1)+(n+2)+(n+3)+(n+4)).

0, 8, 36, 224, 432, 756, 1232, 2808, 4004, 5544, 7488, 12852, 16416, 20672, 25704, 38456, 46368, 55440, 65780, 90720, 105560, 122148, 140616, 183744, 208692, 236096, 266112, 334628, 373464, 415584, 461168, 563472, 620576, 681912, 747684

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OFFSET

0,2

COMMENTS

Sequence contains all numbers of form i(5i+c)(5i+d)(5i+e), with <c,d,e> from {<1,3,4>, <-1,-3,-4>, <-1,2,3>, <1,-2,-3>}. - Ralf Stephan, May 16 2005

LINKS

Table of n, a(n) for n=0..34.

MATHEMATICA

Select[Times@@(Range[0, 4]+#)/Total[Range[0, 4]+#]&/@ Range[0, 60], IntegerQ] (* Harvey P. Dale, Mar 17 2011 *)

CROSSREFS

Cf. A032768, A032769.

Sequence in context: A290357 A030112 A001555 * A032794 A000757 A126756

Adjacent sequences: A032767 A032768 A032769 * A032771 A032772 A032773

KEYWORD

nonn

AUTHOR

Patrick De Geest, May 15 1998

STATUS

approved