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A063013
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Numbers where k-th digit from right is either 0 or k.
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2
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0, 1, 20, 21, 300, 301, 320, 321, 4000, 4001, 4020, 4021, 4300, 4301, 4320, 4321, 50000, 50001, 50020, 50021, 50300, 50301, 50320, 50321, 54000, 54001, 54020, 54021, 54300, 54301, 54320, 54321, 600000, 600001, 600020, 600021, 600300, 600301, 600320, 600321
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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a(511) = 987654321 is the last term.
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LINKS
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FORMULA
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a(n) = a(n-2^floor(log_2(n))) + floor(log_2(n)+1)*10^floor(log_2(n)).
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EXAMPLE
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a(11) = 4021 since 11 is written as 1011 in binary and the 1's can then be replaced by the relevant digits.
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MAPLE
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a:= n-> (l-> parse(cat(seq(l[-i]*(1+nops(l)-i),
i=1..nops(l)))))(convert(n, base, 2)):
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MATHEMATICA
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FromDigits /@ (Range[9, 1, -1]*# & /@ IntegerDigits[Range[0, 511], 2, 9]) (* Giovanni Resta, Oct 28 2018 *)
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CROSSREFS
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KEYWORD
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base,nonn,fini,full
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AUTHOR
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STATUS
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approved
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