A110822 G.f.: square root of weight enumerator of [16,5,8] Reed-Muller code RM(1,4).

1, 15, -112, 1680, -31472, 660240, -14839664, 349414800, -8507710960, 212459830800, -5411770287728, 140059532123280, -3672503890520304, 97354865146790160, -2604834063375041904, 70252635819008699280, -1907877108652806790128, 52128195213064060918800, -1431935470768717669608560

Offset

0,2

Links

Table of n, a(n) for n=0..18.

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

From Georg Fischer, May 10 2026: (Start)

G.f.: sqrt(1 + 30*x + x^2).

D-finite with recurrence: n*a(n) = (45-30*n)*a(n-1) + (3-n)*a(n-2). (End)

Crossrefs

Sequence in context: A298123 A370763 A295384 * A222410 A001849 A115150

Adjacent sequences: A110819 A110820 A110821 * A110823 A110824 A110825

Keyword

sign

Author

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

Status

approved