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A111682
a(n) = (2n)^(2n) - (2n-1)!*(3n)!/((n-1)!*(2n)!).
1
1, 76, 16416, 6798016, 4551356800, 4470007597056, 6043460975190016, 10752691472850927616, 24343005503622220775424, 68309311335401364275200000, 232660170298374017479641923584, 945435062625215546945374336843776, 4518267167605818050886037588752203776
OFFSET
1,2
LINKS
EXAMPLE
2^2 - 1*3 = 1 = a(1).
4^4 - 2*3*5*6 = 256 - 180 = 76 = a(2).
6^6 - 3*4*5*7*8*9 = 46656 - 30240 = 16416 = a(3).
8^8 - 4*5*6*7*9*10*11*12 = 16777216 - 9979200 = 6798016 = a(4).
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MAPLE
a:=n->(2*n)^(2*n)-(2*n-1)!*(3*n)!/(n-1)!/(2*n)!: seq(a(n), n=1..13); # (Emeric Deutsch)
MATHEMATICA
Table[(2n)^(2n)-(2n-1)!(3n)!/((n-1)!(2n)!), {n, 12}] (* Harvey P. Dale, Jul 06 2011 *)
PROG
(PARI) a(n)={(2*n)^(2*n) - (2*n-1)!*(3*n)!/((n-1)!*(2*n)!)} \\ Andrew Howroyd, Nov 09 2019
CROSSREFS
Sequence in context: A289227 A028480 A229413 * A271242 A241878 A033521
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Aug 16 2005
EXTENSIONS
More terms from Emeric Deutsch, Aug 27 2005
Terms a(12) and beyond from Andrew Howroyd, Nov 09 2019
STATUS
approved