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1, 5, 37, 369, 4651, 70993, 1273609, 26269505, 612579511, 15937424601, 457696700077, 14381984674225, 490839666661891, 18080919199832609, 715027614225987601, 30214447801957316865, 1358671297852359767791
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Functions f:[n]->[n+1] such that some x in [n] maps to n+1.
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LINKS
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Table of n, a(n) for n=1..17.
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FORMULA
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E.g.f.: W(-x)*(x-1)/((1+W(-x))*x), W(x) principal branch of Lambert's function.
a(n)=sum(A055864(n, m), m=1..n).
a(n) = sum( n^i*C(n, i) ), i=0..n-1. - Olivier Gérard, Jun 26 2001
With interpolated zeros, ceiling(n/2)^floor(n/2)-floor(n/2)^floor(n/2). - Paul Barry, Jul 13 2005
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MATHEMATICA
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Table[(n+1)^n-n^n, {n, 40}] [From Vladimir Joseph Stephan Orlovsky, Nov 20 2009]
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CROSSREFS
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Row sums of triangle A055864.
Cf. A055864, A055858, A045531.
Sequence in context: A084358 A050351 A129137 * A208231 A112937 A092649
Adjacent sequences: A055866 A055867 A055868 * A055870 A055871 A055872
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang Jun 20 2000
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STATUS
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approved
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