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 A152088 Positive integers k that when written in binary have exactly the same number of (non-leading) 0's as the number of divisors of k. 1
 19, 33, 34, 43, 49, 53, 69, 74, 79, 82, 103, 107, 109, 141, 142, 166, 177, 178, 201, 202, 209, 226, 261, 268, 292, 295, 299, 301, 302, 309, 314, 327, 334, 339, 341, 346, 355, 358, 362, 367, 379, 388, 391, 395, 398, 403, 422, 431, 439, 443, 451, 453, 454, 458 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 34 written in binary is 100010, which has four 0's. Also, 34 has 4 divisors (1,2,17,34). Since the number of binary 0's equals the number of divisors, then 34 is included in this sequence. MATHEMATICA Select[Range[500], DigitCount[#, 2, 0] == DivisorSigma[0, #] &] (* Amiram Eldar, Dec 28 2019 *) CROSSREFS Cf. A000005, A023416, A071593, A080791. Sequence in context: A061962 A272910 A116168 * A106527 A223608 A146438 Adjacent sequences:  A152085 A152086 A152087 * A152089 A152090 A152091 KEYWORD nonn,base AUTHOR Leroy Quet, Nov 23 2008 EXTENSIONS Extended by Ray Chandler, Nov 26 2008 STATUS approved

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Last modified May 17 09:20 EDT 2022. Contains 353741 sequences. (Running on oeis4.)