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Search: id:A138470
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| A138470 |
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Number of numbers less than n having a smaller sum of digits. |
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+0
4
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 3, 6, 9, 12, 15, 18, 21, 24, 27, 29, 6, 10, 14, 18, 22, 26, 30, 34, 37, 39, 10, 15, 20, 25, 30, 35, 40, 44, 47, 49, 15, 21, 27, 33, 39, 45, 50, 54, 57, 59, 21, 28, 35, 42, 49, 55, 60, 64, 67, 69, 28, 36, 44, 52, 59, 65
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n) + A138471(n) + A138472(n) = n.
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 0..1500
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EXAMPLE
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a(42)=#{0,1,2,3,4,5,10,11,12,13,14,20,21,22,23,30,31,32,40,41}=20.
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MAPLE
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digitsum:=proc(n) options operator, arrow: add(convert(n, base, 10)[j], j=1.. nops(convert(n, base, 10))) end proc: a:=proc (n) local ct, j: ct:=0: for j from 0 to n-1 do if digitsum(j) < digitsum(n) then ct:=ct+1 else end if end do: ct end proc: seq(a(n), n=0..75); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 31 2008
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CROSSREFS
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Cf. A007953.
Sequence in context: A135208 A156207 A061486 this_sequence A112875 A113018 A113009
Adjacent sequences: A138467 A138468 A138469 this_sequence A138471 A138472 A138473
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 19 2008
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