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A218130 Number of length 6 primitive (=aperiodic or period 6) n-ary words. 2
0, 0, 54, 696, 4020, 15480, 46410, 117264, 261576, 530640, 998910, 1770120, 2984124, 4824456, 7526610, 11387040, 16772880, 24132384, 34006086, 47038680, 63991620, 85756440, 113368794, 148023216, 191088600, 244124400, 308897550, 387400104, 481867596, 594798120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

G.f.: -6*x^2*(9+53*x+47*x^2+11*x^3)/(x-1)^7.

a(n) = n^6-n^3-n^2+n.

MAPLE

a:= n-> (((n^3-1)*n-1)*n+1)*n:

seq(a(n), n=0..30);

MATHEMATICA

Table[n^6-n^3-n^2+n, {n, 0, 30}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 0, 54, 696, 4020, 15480, 46410}, 30] (* Harvey P. Dale, Oct 13 2017 *)

CROSSREFS

Row n=6 of A143324.

Sequence in context: A193152 A253006 A128961 * A321635 A090835 A069980

Adjacent sequences:  A218127 A218128 A218129 * A218131 A218132 A218133

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Oct 21 2012

STATUS

approved

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Last modified April 13 14:11 EDT 2021. Contains 342936 sequences. (Running on oeis4.)