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 A353293 Irregular table T(n, k), n > 0, k = 1..A353292(n), read by rows: the n-th row contains in ascending order the distinct positive integers k <= n that have at least one common 1-bit with n. 3
 1, 2, 1, 2, 3, 4, 1, 3, 4, 5, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 8, 1, 3, 5, 7, 8, 9, 2, 3, 6, 7, 8, 9, 10, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A352938 for the other k's. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..7163 (rows for n = 1..128 flattened) Index entries for sequences related to binary expansion of n FORMULA T(n, 1) = A006519(n). T(n, A353292(n)) = n. EXAMPLE Irregular table T(n, k) begins: 1: [1] 2: [2] 3: [1, 2, 3] 4: [4] 5: [1, 3, 4, 5] 6: [2, 3, 4, 5, 6] 7: [1, 2, 3, 4, 5, 6, 7] 8: [8] 9: [1, 3, 5, 7, 8, 9] 10: [2, 3, 6, 7, 8, 9, 10] 11: [1, 2, 3, 5, 6, 7, 8, 9, 10, 11] 12: [4, 5, 6, 7, 8, 9, 10, 11, 12] 13: [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13] 14: [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14] 15: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15] PROG (PARI) row(n) = select (k -> bitand(n, k), [1..n]) CROSSREFS Cf. A006519, A352938, A353292 (row lengths). Sequence in context: A328472 A046653 A308897 * A162190 A349325 A134292 Adjacent sequences: A353290 A353291 A353292 * A353294 A353295 A353296 KEYWORD nonn,tabf,look,base AUTHOR Rémy Sigrist, Apr 09 2022 STATUS approved

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Last modified May 26 00:57 EDT 2024. Contains 372806 sequences. (Running on oeis4.)