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Search: id:A114180
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| A114180 |
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Numbers n with mu(n) = mu(n+1) = mu(n+2). |
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+0
1
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| 29, 33, 41, 48, 85, 93, 98, 101, 124, 137, 141, 201, 213, 217, 229, 242, 243, 281, 301, 342, 350, 393, 423, 429, 433, 445, 475, 548, 603, 617, 633, 641, 645, 697, 724, 741, 774, 821, 844, 845, 846, 869, 921, 969, 1021, 1024, 1041, 1085, 1129, 1137, 1189
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Any sequence of 4 or more consecutive numbers with the same value for mu must all have mu(n)=0 (n divisible by a proper square) since at least one of every 4 consecutive numbers is divisible by 4.
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EXAMPLE
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mu(n)=1 for 33,34,35; 85,86,87; 93,94,95; ...
mu(n)=-1 for 29,30,31; 41,42,43; 101,102,103; ...
mu(n)=0 for 48,49,50; 98,99,100; 124,125,126; ...
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CROSSREFS
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Union of A070258, A063838, and A070268. Cf. A008683, A070284.
Sequence in context: A132243 A125523 A077286 this_sequence A102527 A039307 A043130
Adjacent sequences: A114177 A114178 A114179 this_sequence A114181 A114182 A114183
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KEYWORD
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nonn
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), Feb 03 2006
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