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A144514 a(n) = Sum((n+k+3)!/((n-k)!*k!*2^k),k=0..n). 1
6, 84, 1050, 13980, 205800, 3368316, 61075854, 1219445100, 26635157010, 632479986600, 16235529291696, 448220024574504, 13247429692101150, 417453231024613140, 13974133833217747650, 495278130521939366196, 18530507890959175097784, 729908595489477119015700 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

MAPLE

f3:=proc(n) local k; add((n+k+3)!/((n-k)!*k!*2^k), k=0..n); end; [seq(f3(n), n=0..50)];

CROSSREFS

Equals 6*A144506 (with a different offset). Cf. A001515.

Sequence in context: A054605 A119576 A098982 * A011945 A113888 A163947

Adjacent sequences:  A144511 A144512 A144513 * A144515 A144516 A144517

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 16 2008

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Last modified February 14 03:37 EST 2012. Contains 205570 sequences.