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Revision History for A078468
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Distinct compositions of the complete graph with one edge removed (K^-_n).
(history; published version)
(history; published version)
FORMULA
a(n) = A000110(n+2) - A000110(n).
E.g.f. : (-1+exp(x)+exp(2*x))*exp(exp(x)-1).
G.f.: - G(0)*(1+1/x) where G(k) = 1 - 1/(1-x*(k+1))/(1-x/(x-1/G(k+1) )); (recursively defined continued fraction). - Sergei N. Gladkovskii, Feb 07 2013
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FORMULA
a(n) = Sum_{k=0..n} Stirling2(n,k) * (k+1)^2. - Ilya Gutkovskiy, Aug 09 2021
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DATA
1, 4, 13, 47, 188, 825, 3937, 20270, 111835, 657423, 4097622, 26965867, 186685725, 1355314108, 10289242825, 81481911259, 671596664012, 5749877335253, 51042081429213, 469037073951694, 4454991580211951, 43677136038927595, 441452153556357966, 4594438326374915007
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reviewed
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proposed