A083298 Duplicate of A083222.
1, 3, 25, 75, 625, 1875, 15625, 46875, 390625, 1171875, 9765625, 29296875
Offset: 0
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[(5*6^n+(-6)^n)/6: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011
CoefficientList[Series[(1+4x)/((1+6x)(1-6x)),{x,0,50}],x] (* Harvey P. Dale, Mar 01 2011 *)
List([0..25],n->(4*4^n+(-6)^n)/5); # Muniru A Asiru, Oct 31 2018
[(4*4^n+(-6)^n)/5: n in [0..30]]; // Vincenzo Librandi, Jun 08 2011
seq(coeff(series((1+4*x)/((1-4*x)*(1+6*x)),x,n+1), x, n), n = 0 .. 25); # Muniru A Asiru, Oct 31 2018
CoefficientList[Series[(1 + 4 x)/((1 - 4 x) (1 + 6 x)), {x, 0, 22}], x] (* Michael De Vlieger, Oct 31 2018 *)
CoefficientList[Series[(4*Exp[4*x] + Exp[-6*x])/5, {x, 0, 50}], x]*Table[k!, {k, 0, 50}] (* Stefano Spezia, Nov 01 2018 *)
LinearRecurrence[{-2,24}, {1,2}, 30] (* G. C. Greubel, Nov 07 2018 *)
first(n) = Vec((1+4*x)/((1-4*x)*(1+6*x)) + O(x^n)) \\ Iain Fox, Oct 31 2018
a(n) = (4*4^n + (-6)^n)/5 \\ Iain Fox, Oct 31 2018
[(4*6^n+(-4)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 01 2011
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