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A228294
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a(n) = Sum_{k=1..10} n^k.
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2
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0, 10, 2046, 88572, 1398100, 12207030, 72559410, 329554456, 1227133512, 3922632450, 11111111110, 28531167060, 67546215516, 149346699502, 311505013050, 617839704240, 1172812402960, 2141993519226, 3780494710542, 6471681049900, 10778947368420, 17513875027110
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OFFSET
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0,2
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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.: -2*x*(341*x^8 +18392*x^7 +194612*x^6 +616880*x^5 +682550*x^4 +267344*x^3 +33308*x^2 +968*x+5) / (x-1)^11.
a(1) = 10, else a(n) = (n^11-n)/(n-1).
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MAPLE
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a:= n-> `if`(n=1, 10, (n^11-n)/(n-1)):
seq(a(n), n=0..30);
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MATHEMATICA
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Table[Total[n^Range[10]], {n, 0, 30}] (* Harvey P. Dale, May 14 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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