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A028076 Expansion of 1/((1-3x)(1-6x)(1-7x)(1-10x)). 1

%I #21 Sep 28 2023 10:33:25

%S 1,26,435,5980,73721,849966,9381535,100546160,1055929941,10932713506,

%T 112061907035,1140487891140,11548313690161,116513300146646,

%U 1172500867726935,11777524096712920,118148491080002381,1184131514779885386,11860044495183801235

%N Expansion of 1/((1-3x)(1-6x)(1-7x)(1-10x)).

%H Vincenzo Librandi, <a href="/A028076/b028076.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (26, -241, 936, -1260).

%F a(n) = (10^(n+3)-7^(n+4)+7*6^(n+3)-3^(n+3))/84. [_Yahia Kahloune_, Jun 10 2013]

%p A028076:=n->(10^(n+3)-7^(n+4)+7*6^(n+3)-3^(n+3))/84; seq(A028076(n), n=0..20); # _Wesley Ivan Hurt_, Feb 26 2014

%t Table[(10^(n+3)-7^(n+4)+7*6^(n+3)-3^(n+3))/84, {n, 0, 20}] (* _Wesley Ivan Hurt_, Feb 26 2014 *)

%t CoefficientList[Series[1/((1 - 3 x) (1 - 6 x) (1 - 7 x) (1 - 10 x)), {x, 0, 30}], x] (* _Vincenzo Librandi_, Mar 04 2014 *)

%o (Magma) [(10^(n+3)-7^(n+4)+7*6^(n+3)-3^(n+3))/84: n in [0..20]]; // _Vincenzo Librandi_, Mar 04 2014

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Mar 04 2014

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Last modified April 20 02:14 EDT 2024. Contains 371798 sequences. (Running on oeis4.)