A106206 Coefficients of (1 + 144*x)^(1/24).

1, 6, -414, 38916, -4144554, 472479156, -56225019564, 6891580969416, -863170516419354, 109910379090731076, -14178438902704308804, 1848352853316179893176, -243058400211077655952644

Offset

0,2

Links

Table of n, a(n) for n=0..12.

Formula

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

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A172227 A331352 A159015 * A174773 A229471 A258192

Adjacent sequences: A106203 A106204 A106205 * A106207 A106208 A106209

Keyword

sign

Author

Michael Somos, Apr 25 2005

Status

approved