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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A344346 Numbers k which have an odd number of trailing zeros in their binary reflected Gray code A014550(k). 1
 3, 4, 11, 12, 15, 16, 19, 20, 27, 28, 35, 36, 43, 44, 47, 48, 51, 52, 59, 60, 63, 64, 67, 68, 75, 76, 79, 80, 83, 84, 91, 92, 99, 100, 107, 108, 111, 112, 115, 116, 123, 124, 131, 132, 139, 140, 143, 144, 147, 148, 155, 156, 163, 164, 171, 172, 175, 176, 179, 180 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers k such that A050605(k-1) is odd. Numbers k such that A136480(k) is even. The asymptotic density of this sequence is 1/3. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Gray Code. Wikipedia, Gray code. Index entries for 2-automatic sequences. FORMULA a(n) = A081706(n) + 1. - Hugo Pfoertner, May 16 2021 EXAMPLE 3 is a term since its Gray code, 10, has 1 trailing zero, and 1 is odd. 15 is a term since its Gray code, 1000, has 3 trailing zeros, and 3 is odd. MATHEMATICA Select[Range[180], OddQ @ IntegerExponent[# * (# + 1)/2, 2] &] CROSSREFS Cf. A014550, A050605, A081706, A136480. Similar sequences: A001950 (Zeckendorf), A036554 (binary), A145204 (ternary), A217319 (quaternary), A232745 (factorial), A342050 (primorial). Sequence in context: A339578 A244005 A228236 * A047457 A226632 A098377 Adjacent sequences: A344343 A344344 A344345 * A344347 A344348 A344349 KEYWORD nonn,base,easy AUTHOR Amiram Eldar, May 15 2021 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 June 8 03:07 EDT 2023. Contains 363157 sequences. (Running on oeis4.)