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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A001786 Expansion of 1/((1+x)(1-x)^11). 5
 1, 10, 56, 230, 771, 2232, 5776, 13672, 30086, 62292, 122464, 230252, 416394, 727672, 1233584, 2035176, 3276559, 5159726, 7963384, 12066626, 17978389, 26373776, 38138464, 54422576, 76705564 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (10,-44,110,-165,132,0,-132,165,-110,44,-10,1). FORMULA Boas-Buck recurrence: a(n) = (1/n)*Sum_{p=0..n-1} (11 + (-1)^(n-p))*a(p), n >= 1, a(0) = 1. See the Boas-Buck comment in A046521 (here for the unsigned column k = 5 with offset 0). - Wolfdieter Lang, Aug 10 2017 MATHEMATICA CoefficientList[Series[1/((1+x)(1-x)^11), {x, 0, 1003}], x] (* Vincenzo Librandi, Feb 24 2012 *) LinearRecurrence[{10, -44, 110, -165, 132, 0, -132, 165, -110, 44, -10, 1}, {1, 10, 56, 230, 771, 2232, 5776, 13672, 30086, 62292, 122464, 230252}, 30] (* Harvey P. Dale, Oct 22 2015 *) CROSSREFS Cf, A001780, A158454 (signed column k=5). Sequence in context: A198833 A268462 A296918 * A258478 A320756 A053309 Adjacent sequences: A001783 A001784 A001785 * A001787 A001788 A001789 KEYWORD nonn,easy AUTHOR 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 4 04:59 EST 2022. Contains 358544 sequences. (Running on oeis4.)