%I #14 Sep 08 2022 08:45:07
%S 17,165,678,1910,4335,8547,15260,25308,39645,59345,85602,119730,
%T 163163,217455,284280,365432,462825,578493,714590,873390,1057287,
%U 1268795,1510548,1785300,2095925,2445417,2836890,3273578,3758835,4296135,4889072,5541360
%N Sum of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly five ways.
%D Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198.
%H Vincenzo Librandi, <a href="/A076458/b076458.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = n*(n+1)*(10*n^2+8*n-1)/2.
%F G.f.: x*(17+80*x+23*x^2)/(1-x)^5.
%p seq(1/2*n*(n+1)*(10*n^2+8*n-1),n=1..40);
%t CoefficientList[Series[(17 + 80 x + 23 x^2)/(1 - x)^5, {x, 0, 50}], x] (* _Vincenzo Librandi_, Dec 30 2013 *)
%o (Magma) [n*(n+1)*(10*n^2+8*n-1)/2: n in [1..50]]; // _Vincenzo Librandi_, Dec 30 2013
%Y Cf. A002417, A076454-A076459.
%K easy,nonn
%O 1,1
%A _Floor van Lamoen_, Oct 13 2002
%E More terms from _Vincenzo Librandi_, Dec 30 2013