A298791 - OEIS

%I #13 Jan 30 2018 21:18:10

%S 1,5,12,22,37,55,75,101,130,160,197,237,277,325,376,426,485,547,607,

%T 677,750,820,901,985,1065,1157,1252,1342,1445,1551,1651,1765,1882,

%U 1992,2117,2245,2365,2501,2640,2770,2917,3067,3207,3365,3526,3676,3845,4017,4177

%N Partial sums of A298789.

%H Rémy Sigrist, <a href="/A298791/b298791.txt">Table of n, a(n) for n = 0..1000</a>

%F Conjectures from _Colin Barker_, Jan 29 2018: (Start)

%F G.f.: (1 + x)^4*(1 + x^2) / ((1 - x)^3*(1 + x + x^2)^2).

%F a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) for n>6.

%F (End)

%Y Cf. A298789.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Jan 27 2018

%E More terms from _Rémy Sigrist_, Jan 28 2018