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Series reversion of x*(1+3*x^2)/(1+x^2) in odd-power terms.
4

%I #19 Jul 21 2023 09:34:11

%S 1,-2,14,-130,1382,-15906,192894,-2427522,31405430,-415086658,

%T 5580629870,-76080887042,1049295082630,-14613980359010,

%U 205246677882078,-2903566870820610,41337029956899222,-591796707042765954,8514525059135909070,-123048063153362454402

%N Series reversion of x*(1+3*x^2)/(1+x^2) in odd-power terms.

%C Conjugate turbulence sequence to A235347.

%H Georg Fischer, <a href="/A235352/b235352.txt">Table of n, a(n) for n = 0..1000</a> (first 939 terms from _Fung Lam_)

%F D-finite with recurrence 12*n*(2*n+1)*a(n) +(382*n^2-391*n+90)*a(n-1) +3*(34*n^2-132*n+125)*a(n-2) +(2*n-5)*(n-3)*a(n-3)=0. - _R. J. Mathar_, Mar 24 2023

%Y Cf. A235347.

%K sign,easy

%O 0,2

%A _Fung Lam_, Jan 16 2014