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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A028223 Expansion of 1/((1-7x)(1-8x)(1-10x)(1-12x)). 1
 1, 37, 863, 16241, 269703, 4129041, 59748151, 829986817, 11183795975, 147236359985, 1903757010519, 24269169222753, 305923748441767, 3821741982426769, 47397910610955767, 584393237595955649 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Index entries for linear recurrences with constant coefficients, signature (37, -506, 3032, -6720). FORMULA G.f.: 1/((1-7*x)*(1-8*x)*(1-10*x)*(1-12*x)). a(n) = (3*12^(n+3)-10^(n+4)+15*8^(n+3)-8*7^(n+3))/120. [Yahia Kahloune, Jun 12 2013] a(0)=1, a(1)=37, a(2)=863, a(3)=16241, a(n) = 37*a(n-1)-506*a(n-2)+ 3032*a(n-3)- 6720*a(n-4). - Harvey P. Dale, Apr 08 2014 MATHEMATICA CoefficientList[Series[1/((1-7x)(1-8x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{37, -506, 3032, -6720}, {1, 37, 863, 16241}, 20] (* Harvey P. Dale, Apr 08 2014 *) CROSSREFS Sequence in context: A251105 A144511 A028225 * A028217 A028215 A028198 Adjacent sequences: A028220 A028221 A028222 * A028224 A028225 A028226 KEYWORD nonn AUTHOR N. J. A. Sloane. STATUS approved

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.

Last modified August 14 15:32 EDT 2024. Contains 375165 sequences. (Running on oeis4.)