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Search: id:A055869
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| 1, 5, 37, 369, 4651, 70993, 1273609, 26269505, 612579511, 15937424601, 457696700077, 14381984674225, 490839666661891, 18080919199832609, 715027614225987601, 30214447801957316865, 1358671297852359767791
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OFFSET
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1,2
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COMMENT
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Functions f:[n]->[n+1] such that some x in [n] maps to n+1.
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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 Gerard (ogerard(AT)ext.jussieu.fr), Jun 26 2001
With interpolated zeros, ceiling(n/2)^floor(n/2)-floor(n/2)^floor(n/2). - Paul Barry (pbarry(AT)wit.ie), Jul 13 2005
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CROSSREFS
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Row sums of triangle A055864.
Cf. A055864, A055858, A045531.
Sequence in context: A084358 A050351 A129137 this_sequence A112937 A092649 A003709
Adjacent sequences: A055866 A055867 A055868 this_sequence 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 (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jun 20 2000
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