A266398 Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 13440.

0, 0, 12, 37, 76, 130, 200, 287, 392, 516, 660, 825, 1012, 1222, 1456, 1715, 2000, 2312, 2652, 3021, 3420, 3850, 4312, 4807, 5336, 5900, 6500, 7137, 7812, 8526, 9280, 10075, 10912, 11792, 12716, 13685, 14700, 15762, 16872, 18031, 19240, 20500, 21812, 23177

Offset

1,3

Links

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

From Colin Barker, Dec 29 2015: (Start)

a(n) = (n^3+30*n^2-97*n+66)/6.

a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4) for n>4.

G.f.: x^3*(12-11*x) / (1-x)^4.

(End)

Prog

(PARI) concat(vector(2), Vec(x^3*(12-11*x)/(1-x)^4 + O(x^50))) \\ Colin Barker, May 05 2016

Crossrefs

Number of orbits of Aut(Z^7) as function of the infinity norm A000579, A154286, A102860, A002112, A045943, A115067, A008586, A008585, A005843, A001477, A000217.

Sequence in context: A044089 A044470 A005892 * A041276 A302884 A057457

Adjacent sequences: A266395 A266396 A266397 * A266399 A266400 A266401

Keyword

nonn,easy

Author

Philippe A.J.G. Chevalier, Dec 29 2015

Status

approved