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A179370 Positive integers of the form (7*m^2+1)/11. 6

%I #10 Jun 18 2017 02:18:51

%S 16,23,163,184,464,499,919,968,1528,1591,2291,2368,3208,3299,4279,

%T 4384,5504,5623,6883,7016,8416,8563,10103,10264,11944,12119,13939,

%U 14128,16088,16291,18391,18608,20848,21079,23459,23704,26224,26483

%N Positive integers of the form (7*m^2+1)/11.

%C Here m=(11*(2*n-1)-9*(-1)^n)/4 for n>0.

%H B. Berselli, <a href="/A179370/b179370.txt">Table of n, a(n) for n = 1..10000</a>.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,2,-2,-1,1).

%F a(n) = (154*n*(n-1)-63*(2*n-1)*(-1)^n+65)/8.

%F G.f.: x*(16+7*x+108*x^2+7*x^3+16*x^4)/((1+x)^2*(1-x)^3).

%F a(n) = a(-n+1) = a(n-1)+2*a(n-2)-2*a(n-3)-a(n-4)+a(n-5).

%Y Cf. A113338, A179088, A179337, A179338, A179339.

%K nonn,easy

%O 1,1

%A _Bruno Berselli_, Jul 12 2010

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