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A266396 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 80640. 1
0, 0, 0, 10, 41, 105, 215, 385, 630, 966, 1410, 1980, 2695, 3575, 4641, 5915, 7420, 9180, 11220, 13566, 16245, 19285, 22715, 26565, 30866, 35650, 40950, 46800, 53235, 60291, 68005, 76415, 85560, 95480, 106216, 117810, 130305, 143745, 158175, 173641, 190190 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

From Colin Barker, Dec 29 2015: (Start)

a(n) = (n^4+30*n^3-205*n^2+390*n-216)/24.

a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5) for n>5.

G.f.: x^4*(10-9*x) / (1-x)^5.

(End)

PROG

(PARI) concat(vector(3), Vec(x^4*(10-9*x)/(1-x)^5 + 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, A002412, A045943, A115067, A008586, A008585, A005843, A001477, A000217.

Sequence in context: A247201 A022278 A246972 * A006323 A178073 A102784

Adjacent sequences:  A266393 A266394 A266395 * A266397 A266398 A266399

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified July 24 03:30 EDT 2019. Contains 325290 sequences. (Running on oeis4.)