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 A227737 n occurs as many times as there are runs in binary representation of n. 9
 1, 2, 2, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25, 25, 25, 26, 26, 26, 26 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) = the least integer k such that A173318(k) >= n, which implies that each n occurs A005811(n) times. Although as such quite uninteresting, this sequence is useful for computing irregular tables like A101211, A227736, A227738 and A227739. LINKS Antti Karttunen, Table of n, a(n) for n = 1..5120 EXAMPLE 1 has one run in its binary representation "1", thus 1 occurs once. 2 has two runs in its binary representation "10", thus 2 occurs twice. 3 has one run in its binary representation "11", thus 3 occurs only once. 4 has two runs in its binary representation "100", thus 4 occurs twice. 5 has three runs in its binary representation "101", thus 5 occurs three times. The sequence thus begins as 1, 2,2, 3, 4,4, 5,5,5, ... MATHEMATICA Table[ConstantArray[n, Length@ Split@ IntegerDigits[n, 2]], {n, 26}] // Flatten (* Michael De Vlieger, May 09 2017 *) PROG (Scheme with Antti Karttunen's IntSeq-library) (define A227737 (LEAST-GTE-I 1 1 A173318)) CROSSREFS Cf. A227740, A227741, A005811, A173318. Sequence in context: A194175 A194241 A089575 * A194177 A023190 A047783 Adjacent sequences:  A227734 A227735 A227736 * A227738 A227739 A227740 KEYWORD nonn,base AUTHOR Antti Karttunen, Jul 25 2013 STATUS approved

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Last modified August 11 15:12 EDT 2020. Contains 336428 sequences. (Running on oeis4.)