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A294039
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a(n) = e*Gamma(2*n,1).
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3
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2, 16, 326, 13700, 986410, 108505112, 16926797486, 3554627472076, 966858672404690, 330665665962404000, 138879579704209680022, 70273067330330098091156, 42163840398198058854693626, 29599015959535037315994925480, 24034400959142450300587879489790
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = (2*n-1)!*Sum_{k=0..2*n-1} 1/k!.
a(n+1) = 2*n*(2*n+1)*a(n) + 2*n+2. (End)
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MAPLE
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a := n -> exp(1)*GAMMA(2*n, 1):
seq(simplify(a(n)), n=1..15);
# Alternate:
f:= gfun:-rectoproc({a(n+1) = 2*n*(2*n+1)*a(n) + 2*n+2, a(1) = 2}, a(n), remember):
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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