The OEIS is supported by the many generous donors to the OEIS Foundation. Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A353322 A variant of Van Eck's sequence where we only consider powers of 2: for n >= 0, if a(n) = a(n-2^e) for some e, take the least such e and set a(n+1) = 2^e; otherwise a(n+1) = 0. Start with a(1) = 0. 1
 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 4, 0, 2, 8, 0, 0, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2, 2, 1, 8, 4, 8, 2, 8, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS The sequence is eventually 8-periodic. The variant with powers of 4 is 3-periodic: (0 0 1)*. LINKS Table of n, a(n) for n=1..87. Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1). FORMULA a(n) = a(n-8) for n >= 25. EXAMPLE a(1) = 0 by definition. a(2) = 0 as there is only one occurrence of a(1) = 0 so far. a(3) = 2^0 = 1 as a(2) = a(2-2^0). a(4) = 0 as there is only one occurrence of a(3) = 1 so far. a(5) = 2^1 = 2 as a(4) = a(4-2^1). a(6) = 0 as there is only one occurrence of a(5) = 2 so far. a(7) = 2^1 = 2 as a(6) = a(6-2^1). a(8) = 2^1 = 2 as a(7) = a(7-2^1). a(9) = 2^0 = 1 as a(8) = a(8-2^0). a(10) = 0 as a(9) <> a(9-2^e) for any admissible e. PROG (PARI) { for (n=1, #a=vector(87), for (e=0, oo, m = n-1-d=2^e; if (m<1, break, a[n-1]==a[m], a[n]=d; break)); print1 (a[n]", ")) } CROSSREFS Cf. A181391, A353323 (variant for powers of 3). Sequence in context: A159937 A058728 A143751 * A158950 A213013 A242667 Adjacent sequences: A353319 A353320 A353321 * A353323 A353324 A353325 KEYWORD nonn AUTHOR Rémy Sigrist, Apr 12 2022 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 December 4 05:09 EST 2023. Contains 367541 sequences. (Running on oeis4.)