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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A037496 Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,2. 3
 1, 3, 11, 34, 102, 308, 925, 2775, 8327, 24982, 74946, 224840, 674521, 2023563, 6070691, 18212074, 54636222, 163908668, 491726005, 1475178015, 4425534047, 13276602142, 39829806426, 119489419280, 358468257841, 1075404773523 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..26. Index entries for linear recurrences with constant coefficients, signature (3,0,1,-3). FORMULA a(n) = 3*a(n-1) + a(n-3) - 3*a(n-4). From Bruno Berselli, Jan 20 2011: (Start) G.f.: x*(1+2*x^2)/((1-x)*(1-3*x)*(1+x+x^2)). a(n) = round((11*3^n-13)/26) = (11*3^n-13)/26 + ((3-7*i*sqrt(3))*(-1+i*sqrt(3))^n + (3+7*i*sqrt(3))*(-1-i*sqrt(3))^n)/(78*2^n) where i is the imaginary unit. (End) MATHEMATICA With[{c=PadRight[{}, 30, {1, 0, 2}]}, Table[FromDigits[Take[c, n], 3], {n, 30}]] (* or *) LinearRecurrence[{3, 0, 1, -3}, {1, 3, 11, 34}, 30] (* Harvey P. Dale, Mar 30 2012 *) PROG (Magma) I:=[1, 3, 11, 34]; [n le 4 select I[n] else 3*Self(n-1) +Self(n-3)-3*Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 26 2016 CROSSREFS Sequence in context: A084266 A357592 A052471 * A355364 A180762 A134326 Adjacent sequences: A037493 A037494 A037495 * A037497 A037498 A037499 KEYWORD nonn,base,easy AUTHOR Clark Kimberling 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 5 17:31 EDT 2024. Contains 374953 sequences. (Running on oeis4.)