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A168067 n*(n^7+1)/2. 4

%I #14 Sep 08 2022 08:45:48

%S 0,1,129,3282,32770,195315,839811,2882404,8388612,21523365,50000005,

%T 107179446,214990854,407865367,737894535,1281445320,2147483656,

%U 3487878729,5509980297,8491781530,12800000010,18911429691,27437936779,39155492652,55037657100,76293945325

%N n*(n^7+1)/2.

%H Vincenzo Librandi, <a href="/A168067/b168067.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: x*(1 + 120*x + 2157*x^2 + 7792*x^3 + 7827*x^4 + 2136*x^5 + 127*x^6)/(1-x)^9. - _Vincenzo Librandi_, Dec 10 2014

%t Table[n (n^7 + 1)/2, {n, 0, 40}] (* or *) CoefficientList[Series[x (1 + 120 x + 2157 x^2 + 7792 x^3 + 7827 x^4 + 2136 x^5 + 127 x^6) / (1 - x)^9, {x, 0, 40}], x] (* _Vincenzo Librandi_, Dec 10 2014 *)

%o (Magma) [n*(n^7+1)/2: n in [0..40]]; // _Vincenzo Librandi_, Dec 10 2014

%Y Cf. A168635.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, Dec 11 2009

%E More terms from _Vincenzo Librandi_, Dec 10 2014

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)