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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A171443 Expansion of (1+x)^8/(1-x). 9
 1, 9, 37, 93, 163, 219, 247, 255, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n)=2^8=256 for n>=8. We observe that this sequence is the transform of A171442 by T such that: T(u_0,u_1,u_2,u_3,u_4,u_5,...)=(u_0,u_0+u_1,u_1+u_2,u_2+u_3,u_3+u_4,...). REFERENCES Richard Choulet, Une nouvelle formule de combinatoire, Mathématique et Pédagogie, 157 (2006), p. 53-60. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1). FORMULA With m=9, a(n) = Sum_{k=0..floor(n/2)} binomial(m,n-2*k). EXAMPLE a(7) = C(9,7-0)+C(9,7-2)+C(9,7-4)+C(9,7-6) = 36+126+84+9 = 255. MAPLE m:=9:for n from 0 to 40 do a(n):=sum('binomial(m, n-2*k)', k=0..floor(n/2)): od : seq(a(n), n=0..40); MATHEMATICA CoefficientList[Series[(1+x)^8/(1-x), {x, 0, 80}], x] (* Harvey P. Dale, Jul 22 2014 *) CROSSREFS Cf. A040000, A113311, A115291, A171418, A171440, A171441, A171442. Sequence in context: A200774 A273220 A022276 * A341403 A320696 A299290 Adjacent sequences:  A171440 A171441 A171442 * A171444 A171445 A171446 KEYWORD nonn,easy AUTHOR Richard Choulet, Dec 09 2009 EXTENSIONS Definition rewritten by Bruno Berselli, Sep 23 2011 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 July 4 17:52 EDT 2022. Contains 355083 sequences. (Running on oeis4.)