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 A165416 Irregular array read by rows: The n-th row contains those distinct positive integers that each, when written in binary, occurs as a substring in binary n. 10
 1, 1, 2, 1, 3, 1, 2, 4, 1, 2, 5, 1, 2, 3, 6, 1, 3, 7, 1, 2, 4, 8, 1, 2, 4, 9, 1, 2, 5, 10, 1, 2, 3, 5, 11, 1, 2, 3, 4, 6, 12, 1, 2, 3, 5, 6, 13, 1, 2, 3, 6, 7, 14, 1, 3, 7, 15, 1, 2, 4, 8, 16, 1, 2, 4, 8, 17, 1, 2, 4, 9, 18, 1, 2, 3, 4, 9, 19, 1, 2, 4, 5, 10, 20, 1, 2, 5, 10, 21, 1, 2, 3, 5, 6, 11, 22, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This is sequence A119709 with the 0's removed. The n-th row of this sequence contains A122953(n) terms. LINKS Reinhard Zumkeller, Rows n = 1..512 of table, flattened EXAMPLE 6 in binary is 110. The distinct positive integers that occur as substrings in n when they and n are written in binary are: 1 (1 in binary), 2 (10 in binary), 3 (11 in binary), and 6 (110 in binary). So row 6 is (1,2,3,6). PROG (Haskell) a165416 n k = a165416_tabf !! (n-1) !! (k-1) a165416_row n = a165416_tabf !! (n-1) a165416_tabf = map (dropWhile (== 0)) \$ tail a119709_tabf -- Reinhard Zumkeller, Aug 14 2013 CROSSREFS Cf. A119709, A122953. Cf. A030308. Cf. A165153 (row products), A225243 (subsequence). Sequence in context: A144113 A304038 A301983 * A222818 A057059 A169896 Adjacent sequences:  A165413 A165414 A165415 * A165417 A165418 A165419 KEYWORD base,nonn,tabf,look AUTHOR Leroy Quet, Sep 17 2009 EXTENSIONS Extended by Ray Chandler, Mar 13 2010 STATUS approved

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Last modified December 17 14:12 EST 2018. Contains 318201 sequences. (Running on oeis4.)