A193942 - OEIS

%I #16 Apr 01 2020 04:57:05

%S 1,1,1,1,2,2,2,2,3,4,5,6,8,10,12,14,17,21,26,32,40,50,62,76,93,114,

%T 140,172,212,262,324,400,493,607,747,919,1131,1393,1717,2117,2610,

%U 3217,3964,4883,6014,7407,9124,11241,13851,17068,21032,25915,31929,39336

%N G.f.: (1+x^4)/(1-x-x^8).

%C The Gi1 sums, see A180662, of triangle A065941 equal the terms of this sequence.

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,1).

%F G.f.: (1+x^4)/(1-x-x^8).

%F a(n) = A005710(n) + A005710(n-4).

%p A193942 := proc(n): coeftayl((1+x^4)/(1-x-x^8),x=0,n) end: seq(A193942(n), n=0..53);

%o (PARI) Vec((1+x^4)/(1-x-x^8) + O(x^50)) \\ _Jinyuan Wang_, Apr 01 2020

%Y Cf. A005710.

%K nonn,easy

%O 0,5

%A _Johannes W. Meijer_, Aug 11 2011