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 A338500 Lexicographically earliest sequence of distinct nonnegative terms such that for any n >= 0, a(n) AND a(n+1) is a square (where AND denotes the bitwise AND operator). 4
 0, 1, 2, 4, 3, 5, 6, 8, 7, 9, 11, 13, 16, 10, 17, 12, 18, 20, 14, 21, 24, 19, 28, 32, 15, 25, 22, 33, 23, 36, 26, 37, 27, 29, 34, 64, 30, 48, 31, 41, 65, 35, 68, 38, 44, 39, 52, 45, 54, 69, 40, 66, 49, 51, 53, 46, 80, 42, 81, 43, 73, 47, 84, 50, 72, 55, 57, 67 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence is a permutation of the nonnegative integers with inverse A334672: - we can always extend the sequence with a power of 4, - eventually every power of 4 appears in the sequence, - a power of 4 is followed by the least value not yet in the sequence, - so eventually every integer will appear. LINKS Rémy Sigrist, Table of n, a(n) for n = 0..10000 Rémy Sigrist, PARI program for A338500 Index entries for sequences that are permutations of the natural numbers EXAMPLE The first terms, alongside a(n) AND a(n+1), are: n a(n) a(n) AND a(n+1) -- ---- --------------- 0 0 0^2 1 1 0^2 2 2 0^2 3 4 0^2 4 3 1^2 5 5 2^2 6 6 0^2 7 8 0^2 8 7 1^2 9 9 3^2 10 11 3^2 11 13 0^2 12 16 0^2 PROG (PARI) See Links section. CROSSREFS Cf. A334672 (inverse), A335615, A338501. Sequence in context: A107896 A107897 A133256 * A259570 A334672 A095690 Adjacent sequences: A338497 A338498 A338499 * A338501 A338502 A338503 KEYWORD nonn,base AUTHOR Rémy Sigrist, Oct 31 2020 STATUS approved

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Last modified September 25 05:35 EDT 2023. Contains 365582 sequences. (Running on oeis4.)