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A092766
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Triangle read by rows: coefficients of Yablonskii-Vorob'ev polynomials.
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0
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1, 1, 1, -1, 1, -5, -5, 1, -15, 0, -175, 1, -35, 175, -1225, -12250, 6125, 1, -70, 1155, -9800, -67375, -1414875, 4716250, 2358125, 1, -126, 4725, -80850, 242550, -12733875, -202327125, 3034906875, 0, 11802415625, 1, -210, 15015
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,6
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LINKS
| M. Kaneko and H. Ochiai, On coefficients of Yablonskii-Vorob'ev polynomials
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EXAMPLE
| T(0,x) = 1
T(1,x) = x
T(2,x) = x^3 - 1
T(3,x) = x^6 - 5*x^3 - 5
T(4,x) = x^10 - 15*x^7 - 175*x
T(5,x) = x^15 - 35*x^12 + 175*x^9 - 1225*x^6 - 12250*x^3 + 6125
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PROG
| (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))
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CROSSREFS
| Sequence in context: A204005 A075298 A060058 * A060074 A011501 A196614
Adjacent sequences: A092763 A092764 A092765 * A092767 A092768 A092769
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KEYWORD
| sign,tabf
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AUTHOR
| Ralf Stephan, Apr 23 2004
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