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A024771 Expansion of 1/((1-x)(1-8x)(1-9x)(1-10x)). 1

%I #13 Sep 27 2023 19:10:20

%S 1,28,515,7850,107481,1373088,16714975,196403350,2246489861,

%T 25160397548,277090599435,3010102678050,32332333478641,

%U 344033387428408,3631750686931895,38080468894107950,396993032851849821

%N Expansion of 1/((1-x)(1-8x)(1-9x)(1-10x)).

%H Vincenzo Librandi, <a href="/A024771/b024771.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (28,-269,962,-720).

%F a(n) = (28*10^(n+3) - 63*9^(n+3) + 36*8^(n+3) - 1)/504. [_Yahia Kahloune_, Aug 13 2013]

%t CoefficientList[Series[1 / ((1 - x) (1 - 8 x) (1 - 9 x) (1 - 10 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Aug 13 2013 *)

%t LinearRecurrence[{28,-269,962,-720},{1,28,515,7850},20] (* _Harvey P. Dale_, Sep 27 2023 *)

%o (PARI) a(n) = (28*10^(n+3) - 63*9^(n+3) + 36*8^(n+3) - 1)/504; \\ _Joerg Arndt_, Aug 13 2013

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)