A228294 a(n) = Sum_{k=1..10} n^k.

0, 10, 2046, 88572, 1398100, 12207030, 72559410, 329554456, 1227133512, 3922632450, 11111111110, 28531167060, 67546215516, 149346699502, 311505013050, 617839704240, 1172812402960, 2141993519226, 3780494710542, 6471681049900, 10778947368420, 17513875027110

Offset: 0

Author

Alois P. Heinz, Aug 19 2013

Keywords

• nonn
• easy

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

Crossrefs

Column k=10 of A228275.

Programs

Maple

a:= n-> `if`(n=1, 10, (n^11-n)/(n-1)):
seq(a(n), n=0..30);

Mathematica

Table[Total[n^Range[10]],{n,0,30}] (* Harvey P. Dale, May 14 2014 *)

Formula

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).