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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A153777 Sequence S such that 1 is in S and if x is in S, then 5x-1 and 5x+1 are in S. 3
 1, 4, 6, 19, 21, 29, 31, 94, 96, 104, 106, 144, 146, 154, 156, 469, 471, 479, 481, 519, 521, 529, 531, 719, 721, 729, 731, 769, 771, 779, 781, 2344, 2346, 2354, 2356, 2394, 2396, 2404, 2406, 2594, 2596, 2604, 2606, 2644, 2646, 2654, 2656, 3594, 3596, 3604 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Subsequences include A003463, A083065. 1st generation: 1 2nd generation: 4, 6 3rd generation: 19, 21, 29, 31 4th generation: 94, 96, 104, 106, 144, 146, 154, 156 Does every generation contain p or 2p for some prime p? LINKS Harvey P. Dale, Table of n, a(n) for n = 1..10000 Gevorg Hmayakyan, Trig identity for a(n) FORMULA Product_{j=0..n-1} cos(5^j) = 2^(-n+1)*Sum_{i=2^(n-1)..2^n-1} cos(a(i)). - Gevorg Hmayakyan, Jan 15 2017 Sum_{i=2^(n-1)..2^n-1} cos(a(i)/5^(n-1)*Pi/2) = 0. - Gevorg Hmayakyan, Jan 15 2017 a(n) mod 2 = A030300(n). - Alois P. Heinz, Jan 29 2023 MATHEMATICA nxt[n_]:=Flatten[5#+{1, -1}&/@n]; Union[Flatten[NestList[nxt, {1}, 5]]] (* Harvey P. Dale, Dec 25 2012 *) CROSSREFS Cf. A003463, A030300, A083065, A153773, A153776. Column k=5 of A360099. Sequence in context: A317584 A012928 A013160 * A034189 A024697 A024874 Adjacent sequences: A153774 A153775 A153776 * A153778 A153779 A153780 KEYWORD nonn AUTHOR Clark Kimberling, Jan 02 2009 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 22 07:45 EDT 2023. Contains 365519 sequences. (Running on oeis4.)