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A295100
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a(n) = n! * [x^n] exp(n*x)/(1 - 2*x).
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3
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1, 3, 20, 201, 2688, 44815, 894528, 20792205, 551518208, 16438822587, 543934387200, 19783668211153, 784536321392640, 33689132092480839, 1557397919735103488, 77117362592836807125, 4072280214605427376128, 228441851811771488284915, 13566762607790788699226112, 850372121882700252639269337
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OFFSET
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0,2
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COMMENTS
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The n-th term of the n-th binomial transform of A000165.
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LINKS
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FORMULA
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a(n) = n! * Sum_{k=0..n} n^k*2^(n-k)/k! = 2^n*Gamma(n+1, n/2)*exp(n/2). - Robert Israel, Nov 14 2017
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MAPLE
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S:= series(exp(n*x)/(1-2*x), x, 51):
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MATHEMATICA
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Table[n! SeriesCoefficient[Exp[n x]/(1 - 2 x), {x, 0, n}], {n, 0, 19}]
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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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