A006309 Coefficients of period polynomials. (Formerly M3912)

1, 5, -21, 33, -65, 85, -133, 161, 261, -341, -481, 533, -645, 705, 901, -12803, -1281, -1541, 1633, -1825, -14615, -11537, 2581, -3201, 3333

Offset

2,2

References

D. H. and Emma Lehmer, Cyclotomy for nonsquarefree moduli, pp. 276-300 of Analytic Number Theory (Philadelphia 1980), Lect. Notes Math. 899 (1981).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=2..26.

David Naccache and Ofer Yifrach-Stav, Pattern Recognition Experiments on Mathematical Expressions, arXiv:2301.01624 [math.NT], 2022.

Ofer Yifrach-Stav, Fast and Private Pool Testing and Contributions to Experimental Mathematics, Doctoral thesis, École normale supérieure (Paris, France), HAL Science [math.cs] 2024, Art. No. tel-04513104. See pp. 108, 109, 212.

Formula

a(n) = [x^(p-3)] f(p,x) where p = A000040(n) and f(p,x) is defined in A006308. - Sean A. Irvine, Mar 07 2017

Crossrefs

Sequence in context: A316423 A317425 A074074 * A273577 A317039 A317693

Adjacent sequences: A006306 A006307 A006308 * A006310 A006311 A006312

Keyword

sign,more

Author

N. J. A. Sloane.

Extensions

More terms, signs added, and offset corrected by Sean A. Irvine, Mar 07 2017

Status

approved