A006310 a(n) = norm of Heilbronn sum NH_{p}, with p = prime(n). (Formerly M5366)

-1, -1, 97, -243, 12167, 577, 221874931, 157112485811, -2480435158303, 310695313260929, -51140551819476687829, 2727257042363914863401, -2572343484535669027372727, 1052824394331287344099620777449

Offset

1,3

Comments

Also, coefficients of period polynomials.

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

Sean A. Irvine, Table of n, a(n) for n = 1..61

W. L. Fouché, Arithmetic properties of Heilbronn sums, J. Number Theory, 19 (1984), 1-6.

Ken Yamamura, A table of absolute norms of Heilbronn sums, Proc. Japan Acad. Ser. A Math. Sci., Volume 71, Number 1 (1995), 22-23.

Crossrefs

Sequence in context: A261109 A142689 A142908 * A141986 A123033 A142008

Adjacent sequences: A006307 A006308 A006309 * A006311 A006312 A006313

Keyword

sign

Author

N. J. A. Sloane

Extensions

Entry revised by N. J. A. Sloane, Aug 10 2003

Name corrected by Michel Marcus, Mar 26 2015

Status

approved