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A059606
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Expansion of (1/2)*(exp(2*x)-1)*exp(exp(x)-1).
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6
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0, 1, 4, 16, 68, 311, 1530, 8065, 45344, 270724, 1709526, 11376135, 79520644, 582207393, 4453142140, 35500884556, 294365897104, 2533900264547, 22604669612078, 208656457858161, 1990060882027600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Starting (1, 4, 16, 68, 311,...), = A008277 * A000217, i.e. the product of the Stirling2 triangle and triangular series. - Gary W. Adamson, Jan 31 2008
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
More information.
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FORMULA
| a(n) = Sum_{i=0..n} stirling2(n, i)*binomial(i+1, 2).
a(n) = (1/2)*(Bell(n+2)-Bell(n+1)-Bell(n)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 23 2003
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MAPLE
| s := series(1/2*(exp(2*x)-1)*exp(exp(x)-1), x, 21): for i from 0 to 20 do printf(`%d, `, i!*coeff(s, x, i)) od:
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MATHEMATICA
| With[{nn=20}, CoefficientList[Series[((Exp[2x]-1)Exp[Exp[x]-1])/2, {x, 0, nn}] , x] Range[0, nn]!] (* From Harvey P. Dale, Nov 10 2011 *)
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CROSSREFS
| Cf. A000110, A005493, A059604, A059605.
Cf. A035098.
Cf. A008277, A000217.
Sequence in context: A151243 A006319 A202020 * A000303 A144316 A180145
Adjacent sequences: A059603 A059604 A059605 * A059607 A059608 A059609
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KEYWORD
| nonn,easy
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 29 2001
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