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A055384 Expansion of (1 + 4*x + 14*x^2 + 34*x^3 + 63*x^4 + 80*x^5 + 87*x^6 + 68*x^7 + 42*x^8 + 20*x^9 + 7*x^10) / ((1 - x)*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)). 1

%I

%S 1,5,21,65,168,364,726,1316,2253,3649,5681,8505,12390,17544,24318,

%T 33008,44061,57841,74935,95785,121098,151440,187650,230388,280683,

%U 339297,407415,485961,576290,679444,797016,930176,1080711,1249989

%N Expansion of (1 + 4*x + 14*x^2 + 34*x^3 + 63*x^4 + 80*x^5 + 87*x^6 + 68*x^7 + 42*x^8 + 20*x^9 + 7*x^10) / ((1 - x)*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)).

%D R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 6.28(c), y_5.

%H Vincenzo Librandi, <a href="/A055384/b055384.txt">Table of n, a(n) for n = 0..1000</a>

%t CoefficientList[Series[(1 + 4 x + 14 x^2 + 34 x^3 + 63 x^4 + 80 x^5 + 87 x^6 + 68 x^7 + 42 x^8 + 20 x^9 + 7 x^10) / ((1 - x) (1 - x^2)^2 (1 - x^3)^2 (1 - x^4)), {x, 0, 40}], x] (* _Vincenzo Librandi_, Aug 28 2016 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Jul 05 2000

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Last modified May 22 16:43 EDT 2022. Contains 353957 sequences. (Running on oeis4.)