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A168371
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a(n) = n^5*(n^3 + 1)/2.
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1
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0, 1, 144, 3402, 33280, 196875, 843696, 2890804, 8404992, 21552885, 50050000, 107259966, 215115264, 408051007, 738163440, 1281825000, 2148007936, 3488588649, 5510925072, 8493019570, 12801600000, 18913471731, 27440513584
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9).
G.f.: x*(1 + 135*x + 2142*x^2 + 7762*x^3 + 7857*x^4 + 2151*x^5 + 112*x^6)/(1 - x)^9. (End)
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MATHEMATICA
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Table[n^5*(n^3 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 19 2016 *)
LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 1, 144, 3402, 33280, 196875, 843696, 2890804, 8404992}, 30] (* Harvey P. Dale, Apr 02 2017 *)
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PROG
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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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