login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A028078 Expansion of 1/((1-3*x)*(1-6*x)*(1-7*x)*(1-12*x)). 1

%I #17 Sep 08 2022 08:44:50

%S 1,28,511,7762,107065,1397536,17652307,218558494,2673170269,

%T 32451457324,392152259863,4725695939146,56851786048513,

%U 683251595827192,8206387016186779,98529159613684918,1182723165477092197,14195324589704967940,170362624423844562655

%N Expansion of 1/((1-3*x)*(1-6*x)*(1-7*x)*(1-12*x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (28,-273,1098,-1512).

%F a(n) = (2*12^(n+3)-27*7^(n+3)+30*6^(n+3)-5*3^(n+3))/540. - _Yahia Kahloune_, Jun 10 2013

%F a(n) = 28*a(n-1)-273*a(n-2)+1098*a(n-3)-1512*a(n-4). - _Wesley Ivan Hurt_, Oct 21 2014

%p A028078:=n->(2*12^(n+3)-27*7^(n+3)+30*6^(n+3)-5*3^(n+3))/540: seq(A028078(n), n=0..20); # _Wesley Ivan Hurt_, Oct 21 2014

%t CoefficientList[Series[1/((1 - 3 x) (1 - 6 x) (1 - 7 x) (1 - 12 x)), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Oct 21 2014 *)

%t LinearRecurrence[{28,-273,1098,-1512},{1,28,511,7762},20] (* _Harvey P. Dale_, Oct 10 2020 *)

%o (Magma) [(2*12^(n+3)-27*7^(n+3)+30*6^(n+3)-5*3^(n+3))/540 : n in [0..20]]; // _Wesley Ivan Hurt_, Oct 21 2014

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)