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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A010709 Constant sequence: the all 4's sequence. 21
 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS From Klaus Brockhaus, May 25 2010: (Start) Continued fraction expansion of 2+sqrt(5). Decimal expansion of 4/9. Inverse binomial transform of A020707. (End) LINKS Table of n, a(n) for n=0..104. Tom Edgar, Proof without words: sum of powers of 4/9, Math. Mag. 89 no. 3 (2016) 191. Tanya Khovanova, Recursive Sequences INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1012 Index to divisibility sequences Index entries for linear recurrences with constant coefficients, signature (1). FORMULA From Klaus Brockhaus, May 25 2010: (Start) a(n) = 4. G.f.: 4/(1-x). (End) E.g.f.: 4*e^x. - Vincenzo Librandi, Jan 29 2012 PROG (PARI) a(n) = 4 \\ Charles R Greathouse IV, Apr 07 2012 (Maxima) makelist(4, n, 0, 30); /* Martin Ettl, Nov 09 2012 */ (Python) def A010709(n): return 4 # Chai Wah Wu, Mar 22 2023 CROSSREFS From Klaus Brockhaus, May 25 2010: (Start) Equals 4*A000012, 2*A007395, A010731/2, A010855/4, A010871/8. Cf. A098317 (decimal expansion of 2+sqrt(5)), A020707 (2^(n+2)). (End) Sequence in context: A088849 A251539 A123932 * A138908 A032564 A141248 Adjacent sequences: A010706 A010707 A010708 * A010710 A010711 A010712 KEYWORD nonn,cons,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 September 23 01:19 EDT 2023. Contains 365532 sequences. (Running on oeis4.)