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A081588
Fourth row of the Pascal-(1,4,1) array A081579.
4
1, 16, 106, 396, 1011, 2076, 3716, 6056, 9221, 13336, 18526, 24916, 32631, 41796, 52536, 64976, 79241, 95456, 113746, 134236, 157051, 182316, 210156, 240696, 274061, 310376, 349766, 392356, 438271, 487636, 540576, 597216, 657681, 722096
OFFSET
0,2
FORMULA
a(n) = (6+115*n-150*n^2+125*n^3)/6.
G.f.: (1+4*x)^3/(1-x)^4.
MATHEMATICA
CoefficientList[Series[(1 + 4 x)^3 / (1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 09 2013 *)
PROG
(Magma) [(6+115*n-150*n^2+125*n^3)/6: n in [0..40]]; // Vincenzo Librandi, Aug 09 2013
CROSSREFS
Cf. A081587.
Sequence in context: A146211 A258636 A195806 * A276159 A097762 A297610
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Mar 23 2003
STATUS
approved