login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Expansion of (4*x^5 - 9*x^4 + 17*x^3 - 15*x^2 + 6*x - 1)/((2*x - 1)^2*(x - 1)^3).
1

%I #4 Nov 28 2020 12:46:38

%S 1,1,3,10,31,86,219,526,1215,2734,6043,13190,28527,61270,130875,

%T 278302,589567,1244894,2621115,5504662,11533935,24116806,50331163,

%U 104857070,218103231,452984206,939523419,1946156326,4026531055,8321498294,17179868283,35433479230

%N Expansion of (4*x^5 - 9*x^4 + 17*x^3 - 15*x^2 + 6*x - 1)/((2*x - 1)^2*(x - 1)^3).

%p gf := (4*x^5 - 9*x^4 + 17*x^3 - 15*x^2 + 6*x - 1)/((2*x - 1)^2*(x - 1)^3):

%p ser := series(gf, x, 33): seq(coeff(ser, x, n), n=0..31);

%Y Row sums of A339031.

%Y Cf. A339030.

%K nonn

%O 0,3

%A _Peter Luschny_, Nov 24 2020