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A054773 Number of nonnegative integer 4 X 4 matrices with sum of elements equal to n, up to rotational symmetry. 2

%I #11 May 12 2021 10:12:57

%S 1,4,36,204,980,3876,13596,42636,122666,326876,817388,1931540,4346404,

%T 9360540,19390548,38779380,75136675,141430680,259292440,463991880,

%U 811990680,1391975640,2341057896,3867821640,6285222804,10056336264

%N Number of nonnegative integer 4 X 4 matrices with sum of elements equal to n, up to rotational symmetry.

%H Andrew Howroyd, <a href="/A054773/b054773.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: (x^16 - 4*x^15 + 28*x^14 - 12*x^13 + 76*x^12 + 60*x^11 + 196*x^10 - 44*x^9 + 422*x^8 - 44*x^7 + 196*x^6 + 60*x^5 + 76*x^4 - 12*x^3 + 28*x^2 - 4*x + 1)/ ((x - 1)^16*(x + 1)^8*(x^2 + 1)^4).

%Y Row n=4 of A343874.

%Y Cf. A008610.

%K nonn

%O 0,2

%A _Vladeta Jovovic_, May 19 2000

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Last modified March 29 17:07 EDT 2024. Contains 371280 sequences. (Running on oeis4.)