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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A028161 Expansion of 1/((1-4*x)*(1-9*x)*(1-10*x)*(1-11*x)). 0
 1, 34, 737, 12998, 203493, 2949042, 40498969, 534679966, 6850824365, 85749662570, 1053427606881, 12745999413654, 152297310673717, 1800758893450018, 21104410600012073, 245479747499528462 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..15. Index entries for linear recurrences with constant coefficients, signature (34,-419,2186,-3960). FORMULA a(n) = (7*3^(5+2*n)-4^(2+n)-7*2^(2+n)*5^(3+n)+15*11^(2+n))/210. - Harvey P. Dale, Jun 18 2011 a(n) = 34*a(n-1) -419*a(n-2) +2186*a(n-3) -3960*a(n-4), n>=4. - Vincenzo Librandi, Mar 16 2011 a(n) = 21*a(n-1) - 110*a(n-2) + (9^(n+1)-4^(n+1))/5), a(0)=1, a(1)=34. - Vincenzo Librandi, Mar 16 2011 MATHEMATICA CoefficientList[Series[1/((1-4x)(1-9x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -419, 2186, -3960}, {1, 34, 737, 12998}, 30] (* or *) Table[(7*3^(5+2n)-4^(2+n)-7*2^(2+n)*5^(3+n)+15*11^(2+n))/210, {n, 30}] (* Harvey P. Dale, Jun 18 2011 *) CROSSREFS Sequence in context: A028193 A028206 A028192 * A028188 A295780 A028159 Adjacent sequences: A028158 A028159 A028160 * A028162 A028163 A028164 KEYWORD nonn,easy 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 December 7 12:41 EST 2023. Contains 367656 sequences. (Running on oeis4.)