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Search: id:A077539
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A077539 a(n) = Floor[ T(n+1)!*T(n-1)!/{(T(n)!)^2}, where T(n) = n(n+1)/2 = the n-th triangular number. +0
1
6, 20, 42, 71, 108, 152, 204, 263, 330, 403, 485, 573, 669, 773, 884, 1002, 1128, 1261, 1401, 1549, 1704, 1866, 2036, 2214, 2398, 2591, 2790, 2997, 3211, 3433, 3662, 3898, 4142, 4394, 4652, 4918, 5192, 5472, 5761, 6056, 6359, 6669, 6987 (list; graph; listen)
OFFSET

1,1

COMMENT

The ratio itself is an integer only for n = 1, 2 and 3.

EXAMPLE

a(1) = 6 = (2*3)/1, a(2) = 20 = (4*5*6)/(2*3) etc.

CROSSREFS

Sequence in context: A031068 A031052 A097811 this_sequence A002943 A068377 A009946

Adjacent sequences: A077536 A077537 A077538 this_sequence A077540 A077541 A077542

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 09 2002

EXTENSIONS

More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 11 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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