login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) = (12*n + 4)^2.
0

%I #16 Aug 31 2018 02:53:24

%S 16,256,784,1600,2704,4096,5776,7744,10000,12544,15376,18496,21904,

%T 25600,29584,33856,38416,43264,48400,53824,59536,65536,71824,78400,

%U 85264,92416,99856,107584,115600

%N a(n) = (12*n + 4)^2.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).

%F G.f.: 16*(1 + 13*x + 4*x^2)/(1-x)^3.

%F a(n) = 16*A016778(n).

%F a(n) = a(n-1) + 288*n - 48, n >= 1. - _Vincenzo Librandi_, Mar 20 2011

%o (PARI) a(n)=(12*n+4)^2 \\ _Charles R Greathouse IV_, Jun 17 2017

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_