

A140045


Sequence generated from Z/6Z addition table considered as a matrix.


1



1, 40, 495, 8616, 124011, 1905804, 28383615, 427423824, 6403870611, 96118424820, 1441505073735, 21624751859256, 324361491427611, 4865500724823324, 72982158337539855, 1094735196058294944, 16421015247083935011, 246315330264968309700, 3694729496968781349975
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OFFSET

1,2


COMMENTS



LINKS



FORMULA

Let X = the Z/6Z addition table considered as a matrix: [0,1,2,3,4,5; 1,2,3,4,5,0; 2,3,4,5,0,1; 3,4,5,0,1,2; 4,5,0,1,2,3; 5,0,1,2,3,4]. a(n) = term (1,2) of X^n.
G.f.: x*(216*x^4468*x^378*x^2+28*x+1) / ((3*x+1)*(6*x1)*(6*x+1)*(15*x1)*(12*x^21)).  Colin Barker, May 25 2013


EXAMPLE

a(3) = 495 since term (1,2) of X^3 = 495.


MAPLE

a:= n> (Matrix(6, (i, j)> irem(i+j2, 6))^n)[1, 2]:


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



EXTENSIONS



STATUS

approved



