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A254142
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a(n) = (9*n+10)*binomial(n+9,9)/10.
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10
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1, 19, 154, 814, 3289, 11011, 32032, 83512, 199342, 442442, 923780, 1830764, 3468374, 6317234, 11113784, 18958808, 31461815, 50930165, 80613390, 125014890, 190285095, 284712285, 419329560, 608658960, 871616460, 1232604516, 1722822024, 2381824984
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OFFSET
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0,2
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COMMENTS
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If n is of the form 8*k+2*(-1)^k-1 or 8*k+2*(-1)^k-2 then a(n) is odd.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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G.f.: (1 + 8*x)/(1-x)^11.
a(n) = Sum_{i=0..n} (i+1)*A000581(i+8).
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MAPLE
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seq((9*n+10)*binomial(n+9, 9)/10, n=0..30); # G. C. Greubel, Aug 28 2019
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MATHEMATICA
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Table[(9n+10)Binomial[n+9, 9]/10, {n, 0, 30}]
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PROG
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(PARI) vector(30, n, n--; (9*n+10)*binomial(n+9, 9)/10)
(Sage) [(9*n+10)*binomial(n+9, 9)/10 for n in (0..30)]
(Magma) [(9*n+10)*Binomial(n+9, 9)/10: n in [0..30]];
(GAP) List([0..30], n-> (9*n+10)*Binomial(n+9, 9)/10); # G. C. Greubel, Aug 28 2019
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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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