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A144660 a(n) = Sum_{i=0..n} Sum_{j=0..n} Sum_{k=0..n} (i+j+k)!/(i!*j!*k!). 4
1, 16, 271, 5248, 110251, 2435200, 55621567, 1301226496, 30992872483, 748574130016, 18283414868863, 450657134765056, 11192820128307871, 279787295456009728, 7032532242167190271, 177611430242835570688, 4504491083159761986451, 114662734697313744041248 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

MAPLE

f:=n->add( add( add( (i+j+k)!/(i!*j!*k!), i=0..n), j=0..n), k=0..n); [seq(f(n), n=0..20)];

CROSSREFS

Cf. A030662, A144661. This sum is very close to that in A144511.

Sequence in context: A166908 A119290 A161595 * A158574 A000487 A197622

Adjacent sequences:  A144657 A144658 A144659 * A144661 A144662 A144663

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 31 2009, Feb 01 2009

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.