Search: id:A092766
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%I A092766
%S A092766 1,1,1,1,1,5,5,1,15,0,175,1,35,175,1225,12250,6125,1,70,1155,9800,67375,
%T A092766 1414875,4716250,2358125,1,126,4725,80850,242550,12733875,202327125,
%U A092766 3034906875,0,11802415625,1,210,15015
%V A092766 1,1,1,-1,1,-5,-5,1,-15,0,-175,1,-35,175,-1225,-12250,6125,1,-70,1155,
               -9800,-67375,
%W A092766 -1414875,4716250,2358125,1,-126,4725,-80850,242550,-12733875,-202327125,
               3034906875,0,
%X A092766 11802415625,1,-210,15015
%N A092766 Triangle read by rows: coefficients of Yablonskii-Vorob'ev polynomials.
%H A092766 M. Kaneko and H. Ochiai, <a href="http://arXiv.org/abs/math.QA/0205178">
               On coefficients of Yablonskii-Vorob'ev polynomials</a>
%e A092766 T(0,x) = 1
%e A092766 T(1,x) = x
%e A092766 T(2,x) = x^3 - 1
%e A092766 T(3,x) = x^6 - 5*x^3 - 5
%e A092766 T(4,x) = x^10 - 15*x^7 - 175*x
%e A092766 T(5,x) = x^15 - 35*x^12 + 175*x^9 - 1225*x^6 - 12250*x^3 + 6125
%o A092766 (PARI) T(n)=if(n<2,if(n<1,n>=0,x),(x*T(n-1)^2+T(n-1)*T(n-1)''-T(n-1)'^2)/
               T(n-2))
%Y A092766 Sequence in context: A011094 A075298 A060058 this_sequence A060074 A011501 
               A114348
%Y A092766 Adjacent sequences: A092763 A092764 A092765 this_sequence A092767 A092768 
               A092769
%K A092766 sign,tabf
%O A092766 2,6
%A A092766 Ralf Stephan, Apr 23 2004

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