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Search: id:A125497
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| 27, 125, 216, 343, 729, 1000, 1331, 1728, 2744, 3375, 4913, 5832, 6859, 8000, 9261, 10648, 13824, 19683, 21952, 27000, 29791, 35937, 39304, 46656, 50653, 54872, 59319, 64000, 68921, 74088, 85184, 103823, 110592, 148877, 157464, 166375
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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125 is in the sequence because 5^3=125 and its representation in base 2 (1111101) has an even number of 1's.
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MAPLE
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a:=proc(k) local k2: k2:=convert(k^3, base, 2): if add(k2[j], j=1..nops(k2)) mod 2=0 then k^3 else fi end: seq(a(k), k=1..70); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 01 2007
isA001969 := proc(n) local b2 ; b2 := convert(n, base, 2) ; if sum(op(i, b2), i=1..nops(b2)) mod 2 = 0 then RETURN(true) ; else RETURN(false) ; fi ; end : for n from 1 to 80 do if isA001969(n^3) then printf("%d, ", n^3) ; fi ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2007
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CROSSREFS
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Intersection of A000578 (cubes) and A001969 (evil numbers).
Sequence in context: A036927 A145555 A137800 this_sequence A118092 A126272 A016755
Adjacent sequences: A125494 A125495 A125496 this_sequence A125498 A125499 A125500
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KEYWORD
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base,nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Dec 27 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 01 2007
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 07 2007
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