A110828 G.f.: square root of weight enumerator of [128,8,64] Reed-Muller code RM(1,7).

1, 127, -8064, 1024128, -162578304, 28906012800, -5506514149248, 1098926377492608, -226787489583693696, 48002619344296837248, -10363606765190978576256, 2273363554859188811800704, -505247277362380820188774272, 113523427964612752606407049344, -25745094719113893095451450367872

Offset

0,2

Links

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

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, arXiv:math/0509316 [math.NT], 2005-2006; J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

Formula

a(n) = (LegendreP(n,-127)+127*LegendreP(n-1,-127))/(1-n) for n>1 (guessed formula). - Mark van Hoeij, Apr 23 2010

Prog

(PARI) a(n) = if(n>1, (pollegendre(n, -127) + 127*pollegendre(n-1, -127))/(1-n), 126*n+1) \\ Charles R Greathouse IV, Mar 19 2017

Crossrefs

Cf. A110827.

Sequence in context: A005464 A160898 A140477 * A286790 A022189 A121618

Adjacent sequences: A110825 A110826 A110827 * A110829 A110830 A110831

Keyword

sign

Author

N. J. A. Sloane and Nadia Heninger Aug 18 2005

Status

approved