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 A175326 A positive integer n is included if the run-lengths (of runs both of 0's and of 1's) of the binary representation of n form an arithmetic progression (when written in order). 3
 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 21, 24, 28, 30, 31, 32, 39, 42, 48, 51, 56, 57, 60, 62, 63, 64, 85, 96, 112, 120, 124, 126, 127, 128, 170, 192, 204, 224, 240, 248, 252, 254, 255, 256, 287, 341, 384, 399, 448, 455, 480, 483, 496, 497, 504 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The difference between the lengths of consecutive runs in binary n may be either positive, 0, or negative. This sequence provides a way to order all of the finite sequences each of positive integers arranged in an arithmetic progression (with common difference between consecutive integers being either positive, zero, or negative). See A175327. LINKS Lars Blomberg, Table of n, a(n) for n = 1..10000 Lars Blomberg, C# program for generating the b-file EXAMPLE 57 in binary is 111001. The run lengths are therefore 3,2,1, and (3,2,1) forms an arithmetic progression; so 57 is in this sequence. MATHEMATICA Select[Range@504, 2 > Length@Union@Differences[Length /@ Split@IntegerDigits[#, 2]] &] (* Giovanni Resta, Feb 15 2013 *) CROSSREFS Cf. A175327, A175328. Sequence in context: A285314 A080544 A178878 * A018676 A115845 A026507 Adjacent sequences:  A175323 A175324 A175325 * A175327 A175328 A175329 KEYWORD base,nonn AUTHOR Leroy Quet, Apr 07 2010 EXTENSIONS a(30)-a(58) from Lars Blomberg, Feb 15 2013 STATUS approved

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Last modified August 22 17:23 EDT 2019. Contains 326180 sequences. (Running on oeis4.)