The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A020975 Expansion of 1/((1-7*x)*(1-11*x)*(1-12*x)). 1
 1, 30, 607, 10344, 160189, 2335746, 32694859, 444486828, 5913240457, 77372622822, 999305059831, 12772807490352, 161880145667605, 2037329650638858, 25491080959642723, 317372095748963316, 3934768748483886433, 48606797206780217454, 598568489369669902735 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..920 Index entries for linear recurrences with constant coefficients, signature (30,-293,924). FORMULA a(n) = 30*a(n-1) - 293*a(n-2) + 924*a(n-3), n>=3. - Vincenzo Librandi, Mar 15 2011 a(n) = 23*a(n-1) - 132*a(n-2) + 7^n, a(0)=1, a(1)=30. - Vincenzo Librandi, Mar 15 2011 a(n) = 49*7^n/20 - 121*11^n/4 + 144*12^n/5. - R. J. Mathar, Jul 01 2013 MAPLE seq(coeftayl(1/((1-7*x)*(1-11*x)*(1-12*x)), x = 0, k), k=0..17); # Muniru A Asiru, Feb 10 2018 MATHEMATICA CoefficientList[Series[1/((1-7*x)*(1-11*x)*(1-12*x)), {x, 0, 50}], x] (* G. C. Greubel, Feb 09 2018 *) LinearRecurrence[{30, -293, 924}, {1, 30, 607}, 20] (* Robert G. Wilson v, Feb 10 2018 *) PROG (PARI) x='x+O('x^30); Vec(1/((1-7*x)*(1-11*x)*(1-12*x))) \\ G. C. Greubel, Feb 09 2018 (MAGMA) R:=PowerSeriesRing(Integers(), 30); Coefficients(R!(1/((1-7*x)*(1-11*x)*(1-12*x)))); // G. C. Greubel, Feb 09 2018 (GAP) a:=[1, 30, 607];; for n in [4..17] do a[n]:=30*a[n-1]-293*a[n-2]+924*a[n-3]; od; a; # Muniru A Asiru, Feb 10 2018 CROSSREFS Sequence in context: A042744 A020980 A051303 * A277877 A279870 A124099 Adjacent sequences:  A020972 A020973 A020974 * A020976 A020977 A020978 KEYWORD nonn AUTHOR EXTENSIONS a(16)-a(17) from Muniru A Asiru, Feb 10 2018 STATUS approved

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

Last modified November 27 10:45 EST 2021. Contains 349366 sequences. (Running on oeis4.)