This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A144448 #7 Mar 07 2022 02:05:59 %S A144448 0,16,40,8,112,160,8,280,352,16,520,616,80,832,952,40,1216,1360,56, %T A144448 1672,1840,224,2200,2392,32,2800,3016,40,3472,3712,440,4216,4480,176, %U A144448 5032,5320,208,5920,6232,728,6880,7216,280,7912,8272,320,9016,9400,1088,10192,10600,136,11440,11872,152 %N A144448 First bisection of A061039. %C A144448 From Paschen spectrum of hydrogen. %C A144448 All numbers are multiples of 8. %H A144448 G. C. Greubel, <a href="/A144448/b144448.txt">Table of n, a(n) for n = 1..5000</a> %H A144448 <a href="/index/Rec#order_81">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). %F A144448 a(n) = A061039(2*n+1). %F A144448 From _G. C. Greubel_, Mar 06 2022: (Start) %F A144448 a(n) = 3*a(n-27) - 3*a(n-54) + a(n-81). %F A144448 a(n) = 8*A178978(n). (End) %t A144448 Table[Numerator[1/3^2 - 1/(2*n+1)^2], {n,100}] (* _G. C. Greubel_, Mar 06 2022 *) %o A144448 (Sage) [numerator(1/9 -1/(2*n+1)^2) for n in (1..100)] # _G. C. Greubel_, Mar 06 2022 %Y A144448 Cf. A061039, A178978. %K A144448 nonn %O A144448 1,2 %A A144448 _Paul Curtz_, Oct 06 2008 %E A144448 Formula index corrected, extended by _R. J. Mathar_, Dec 02 2008