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A206309 Villegas-Zagier polynomial V(3*n) evaluated at x=0. 3
1, -2, -152, -6848, -8103296, 22483912960, -8062284861440, 196434444070666240, 532650564250569441280, 2039228675045199496806400, -5209573728611533514689740800, 1172773847164346785332278906060800, -14811687653648930753369603156895334400, -612441229040578815278149020969838051328000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Numbers B_k in Villegas/Zagier "Which primes are sums of two cubes?"

REFERENCES

H. Cohen, Number Theory. Volume I: Tools and Diophantine Equations, Springer-Verlag, 2007, p. 378.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..156 (terms 0..66 from Vincenzo Librandi)

Fernando Rodriguez Villegas, Don Zagier, Which primes are sums of two cubes?, CMS Conference Proceedings 15 (1995), pp. 295-306.

PROG

(PARI) { A206309(n) = my(p0, p1, q); p0 = 0; p1 = 1; for(m=1, 3*n, q = (8*x^3-1)*deriv(p1) - (16*(m-1)+3)*x^2*p1 - 4*(m-1)*(2*(m-1)-1)*x*p0; p0 = p1; p1 = q; ); subst(p1, x, 0); } \\ Max Alekseyev, Dec 05 2017

CROSSREFS

The first column of A166243.

Cf. A166244, A159843, A166246

Sequence in context: A024245 A113576 A102458 * A265880 A064436 A012605

Adjacent sequences:  A206306 A206307 A206308 * A206310 A206311 A206312

KEYWORD

sign

AUTHOR

Joerg Arndt, Feb 06 2012

EXTENSIONS

Edited by Max Alekseyev, Dec 05 2017

STATUS

approved

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Last modified April 15 13:37 EDT 2021. Contains 342977 sequences. (Running on oeis4.)