cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A059422 Difference between number of even equivalence classes and odd classes of terms in a symmetric determinant of order n.

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%I A059422 #6 Oct 08 2013 02:41:20
%S A059422 1,1,0,-1,-1,3,-2,25,-213,1547,-13276,129069,-1375775,16009741,
%T A059422 -202184274,2753591087,-40231298023,627731583225,-10418193719432,
%U A059422 183264681827863,-3406106373633009,66695477905719251,-1372395141298236250,29607108539572186329
%N A059422 Difference between number of even equivalence classes and odd classes of terms in a symmetric determinant of order n.
%D A059422 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 260, #12, a'_n.
%F A059422 E.g.f.: exp(1/2*t-1/4*t^2)*(1+t)^(1/2)
%F A059422 a(n) ~ (-1)^(n+1) * n^(n-1) / (sqrt(2)*exp(n+3/4)). - _Vaclav Kotesovec_, Oct 07 2013
%t A059422 CoefficientList[Series[E^(1/2*x-1/4*x^2)*(1+x)^(1/2), {x, 0, 20}], x]* Range[0, 20]! (* _Vaclav Kotesovec_, Oct 07 2013 *)
%Y A059422 Cf. A002135.
%K A059422 sign
%O A059422 0,6
%A A059422 _N. J. A. Sloane_, Jan 30 2001