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Coefficients of (1 + 144*x)^(1/24).
0

%I #10 Jan 30 2020 21:29:15

%S 1,6,-414,38916,-4144554,472479156,-56225019564,6891580969416,

%T -863170516419354,109910379090731076,-14178438902704308804,

%U 1848352853316179893176,-243058400211077655952644

%N Coefficients of (1 + 144*x)^(1/24).

%F G.f.: (1 + 144*x)^(1/24).

%F D-finite with recurrence: n*a(n) +6*(24*n-25)*a(n-1)=0. - _R. J. Mathar_, Jan 20 2020

%e G.f. = 1 + 6*x - 414*x^2 + 38916*x^3 - 4144554*x^4 + 472479156*x^5 + ...

%t CoefficientList[Series[(1+144x)^(1/24),{x,0,20}],x] (* _Harvey P. Dale_, Dec 17 2013 *)

%o (PARI) {a(n) = if( n<0, 0, polcoeff( (1 + 144*x + x * O(x^n))^(1/24), n))};

%K sign

%O 0,2

%A _Michael Somos_, Apr 25 2005