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A178978 a(n) = A144448(n+1)/8.

%I A178978 #17 Mar 07 2022 02:06:03
%S A178978 0,2,5,1,14,20,1,35,44,2,65,77,10,104,119,5,152,170,7,209,230,28,275,
%T A178978 299,4,350,377,5,434,464,55,527,560,22,629,665,26,740,779,91,860,902,
%U A178978 35,989,1034,40,1127,1175,136,1274,1325,17
%N A178978 a(n) = A144448(n+1)/8.
%C A178978 Differs from A178971 for indices n > 23.
%H A178978 G. C. Greubel, <a href="/A178978/b178978.txt">Table of n, a(n) for n = 0..5000</a>
%H A178978 <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 A178978 Trisections:
%F A178978   a(3*n)   = A145911(n);
%F A178978   a(3*n+1) = A145910(n);
%F A178978   a(3*n+2) = A178977(n).
%F A178978 a(n) = 3*a(n-27) - 3*a(n-54) + a(n-81). - _G. C. Greubel_, Mar 06 2022
%p A178978 A061039 := proc(n) numer(1/9-1/n^2) ; end proc:
%p A178978 A144448 := proc(n) A061039(1+2*n) ; end proc:
%p A178978 A178978 := proc(n) A144448(n+1)/8 ; end proc:
%p A178978 seq(A178978(n),n=0..80) ; # _R. J. Mathar_, Jan 06 2011
%t A178978 Table[Numerator[1/9 -1/(2*n+3)^2]/8, {n, 0, 75}] (* _G. C. Greubel_, Mar 06 2022 *)
%o A178978 (Sage) [numerator(1/9 -1/(2*n+3)^2)/8 for n in (0..75)] # _G. C. Greubel_, Mar 06 2022
%Y A178978 Cf. A061039, A145910, A145911, A178971, A178977, A178978, A144448.
%K A178978 nonn,easy,less
%O A178978 0,2
%A A178978 _Paul Curtz_, Jan 02 2011