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A240806
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Coefficients in expansion of graph zeta function of graph obtained by adding 4 vertices to each edge of K_5.
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2
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1, 3, 12, 39, 126, 381, 1169, 3528, 10611, 31869, 95742, 287235, 861753, 2585646, 7757199, 23270967, 69814035, 209444148, 628329001, 1884986319, 5654972973, 16964909958, 50894701155, 152684163435, 458052522680, 1374157361943, 4122472203369, 12367417119426, 37102250507967, 111306750857883, 333920255806104, 1001760766199415, 3005282290140126
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 3*a(n-1) + 3*a(n-2) - 6*a(n-3) - 9*a(n-4) - 15*a(n-5) + 35*a(n-6) + 60*a(n-7) - 75*a(n-8) - 75*a(n-9) + 81*a(n-10) + 42*a(n-11) - 43*a(n-12) - 9*a(n-13) + 9*a(n-14) for n > 13. - Chai Wah Wu, Jan 19 2020
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EXAMPLE
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The zeta function is 1/((1-x^10)^5*(1-3*x^5)*(1-x^5)*(1+x^5+3*x^10)).
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MATHEMATICA
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CoefficientList[Series[1/(-(1 - x)^6 (x + 1)^5 (9 x^3 + 2 x - 1)), {x, 0, 50}], x] (* Vincenzo Librandi, Apr 16 2014 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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