A066404 From expansion of Belyi function for icosahedron.

1, -739, 196874, -22478125, 1086128125, -35307387500, 913727546875, -20389341653125, 410010534950000, -7633186177665625, 133911227595521875, -2240979684247156250, 36090410657726350000, -563019001047724506250, 8550765894655300606250

Offset

0,2

References

A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, 1955, Vol. 3, p. 24.

Links

Table of n, a(n) for n=0..14.

N. Magot and A. Zvonkin, Belyi functions for Archimedian solids, Discrete Math., 217 (2000), 249-271.

Formula

The Belyi function is 1/Belyi function for dodecahedron.

G.f.: (1-228x+494x^2+228x^3+x^4)^3/(1+11x-x^2)^5. - Michael Somos, Dec 13 2002

Prog

(PARI) a(n)=polcoeff((1+228*(x^3-x)+494*x^2+x^4)^3/(1+11*x-x^2)^5+x*O(x^n), n)

Crossrefs

Cf. A066402, A066403, A066405. a(n)=(-1)^n*A078906(n-1).

Sequence in context: A235466 A202417 A078906 * A066402 A243778 A256634

Adjacent sequences: A066401 A066402 A066403 * A066405 A066406 A066407

Keyword

sign

Author

N. J. A. Sloane, Dec 25 2001

Status

approved