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A174683 Denominator of 1/16 - 1/n^2. 2

%I #12 Sep 16 2018 21:39:38

%S 0,16,16,144,16,400,144,784,64,1296,400,1936,18,2704,784,3600,256,

%T 4624,1296,5776,50,7056,1936,8464,576,10000,2704,11664,49,13456,3600,

%U 15376,1024,17424,4624,19600,81,21904,5776,24336,1600,26896,7056,29584,242,32400,8464,35344,2304,38416

%N Denominator of 1/16 - 1/n^2.

%C The value of a(n)=0 is substituted at the pole n=0.

%C Extends the Bracket spectrum to negative quantum numbers in the fashion of A061038 (1/4-1/n^2) and A181759 (1/9-1/n^2).

%H G. C. Greubel, <a href="/A174683/b174683.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = A061042(n), n>=4.

%F a(n) = LCM[n^2 - 16, 16*n^2]/(n^2 - 16), for n>=5. - _G. C. Greubel_, Sep 16 2018

%t Table[If[n == 0, 0, If[n == 4, 16, Denominator[(n^2 - 16)/(4*n)^2]]], {n, 0, 100}] (* _G. C. Greubel_, Sep 16 2018 *)

%o (PARI) for(n=0,100, print1(if(n==0,0, if(n==4,16, denominator((n^2 - 16)/(4*n)^2))), ", ")) \\ _G. C. Greubel_, Sep 16 2018

%Y Cf A174680 (numerators).

%K nonn,easy,frac

%O 0,2

%A _Paul Curtz_, Nov 30 2010

%E Removed a(-4)-a(-1) since a(-n)=a(n) by _G. C. Greubel_, Sep 16 2018

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Last modified September 10 21:37 EDT 2024. Contains 375795 sequences. (Running on oeis4.)