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A160853
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Expansion of (1+147*x+1230*x^2+1925*x^3+754*x^4+67*x^5+x^6)/(1-x)^7.
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1
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1, 154, 2287, 14735, 61227, 193897, 510420, 1175273, 2445121, 4698328, 8468593, 14482711, 23702459, 37370607, 57061054, 84733089, 122789777, 174140470, 242267443, 331296655, 446072635, 592237493, 776314056, 1005793129
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OFFSET
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0,2
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COMMENTS
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Source: the De Loera et al. article and the Haws website listed in A160747.
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LINKS
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FORMULA
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a(n) = 1 +n*(n+1)*(1375*n^4+4022*n^3+6573*n^2+4582*n+1808)/240. - R. J. Mathar, Sep 17 2011
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MAPLE
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seq(coeff(series((1+147*x+1230*x^2+1925*x^3+754*x^4+67*x^5+x^6)/(1-x)^7, x, n+1), x, n), n=0..25); # Muniru A Asiru, Apr 29 2018
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MATHEMATICA
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LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 154, 2287, 14735, 61227, 193897, 510420}, 40] (* G. C. Greubel, Apr 28 2018 *)
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PROG
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(Magma) [1 +n*(n+1)*(1375*n^4+4022*n^3+6573*n^2+4582*n+1808)/240: n in [0..30]]; // Vincenzo Librandi, Sep 20 2011
(PARI) x='x+O('x^30); Vec((1+147*x+1230*x^2+1925*x^3+754*x^4+67*x^5 + x^6)/(1-x)^7) \\ G. C. Greubel, Apr 28 2018
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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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