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Search: id:A133286
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A133286 a(n) = the amount by which n^n overestimates the value of (1/2)Sum{k=1 to infinity}(k^n/2^k). +0
1
0, 1, 14, 181, 2584, 41973, 776250, 16231381, 380333228, 9897752437, 283689038038, 8888008880661, 302348248243872, 11101365482587572, 437663607189881536, 18441428419027570688, 827109891119307685888 (list; graph; listen)
OFFSET

1,3

FORMULA

a(n)=n^n-(1/2)Sum{k=1 to infinity}(k^n/2^k)

EXAMPLE

a(3)=3^3-(1/2)Sum{k=1 to infinity}(k^3/2^k)

=27-1/2(26)

=27-13

=14

CROSSREFS

Adjacent sequences: A133283 A133284 A133285 this_sequence A133287 A133288 A133289

Sequence in context: A125471 A132010 A126866 this_sequence A097828 A030008 A091030

KEYWORD

nonn

AUTHOR

Ramesh L. Srigiriraju (rsrigir(AT)vt.edu), Oct 16 2007

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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