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%I #8 Aug 28 2015 12:02:48
%S 1,3,10,41,172,749,3332,15041,68640,315840,1462798,6810588,31846811,
%T 149459541,703592472,3321019270,15711717162,74482623635,353723268817,
%U 1682536854931,8014676326925,38226681972410,182538225520073
%N a(n) = A152800(n+2,2n+1) for n>=0.
%C Triangle A152800 gives a q-analog of the Euler numbers.
%H M. M. Graev, <a href="http://dx.doi.org/10.1090/S0077-1554-2014-00235-1">Einstein equations for invariant metrics on flag spaces and their Newton polytopes</a>, Transactions of the Moscow Mathematical Society, 2014, pp. 13-68. Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 75 (2014), vypusk 1.
%o (PARI) {a(n)=polcoeff(polcoeff(1/sum(m=0,n+2,(-1)^m*x^(2*m)/prod(j=1,2*m,(q^j-1)/(q-1))+x*O(x^(2*n+4))),2*n+4,x)*prod(j=1,2*n+4,(q^j-1)/(q-1)),2*n+1,q)}
%Y Cf. A152800; A152801.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Dec 26 2008
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