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A214949
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Numerator of sum of reciprocals of all nonzero digits of n in decimal representation; denominators: A214950.
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7
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0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 3, 1, 5, 3, 7, 2, 9, 5, 11, 1, 4, 5, 2, 7, 8, 1, 10, 11, 4, 1, 5, 3, 7, 1, 9, 5, 11, 3, 13, 1, 6, 7, 8, 9, 2, 11, 12, 13, 14, 1, 7, 2, 1, 5, 11, 1, 13, 7, 5, 1, 8, 9, 10, 11, 12, 13, 2, 15, 16
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OFFSET
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0,12
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COMMENTS
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a(A037264(n)) = a(A037268(n)) = a(A214958(n)) = a(A214959(n)) = 1;
a(n) = a(A004719(n)).
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
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MATHEMATICA
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nsr[n_] := Numerator[Total[1/Select[IntegerDigits[n], # > 0 &]]]; nsr /@ Range[0, 79] (* Jayanta Basu, Jul 13 2013 *)
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PROG
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(Haskell)
import Data.Ratio ((%), numerator)
a214949 = f 0 where
f y 0 = numerator y
f y x = f (y + if d == 0 then 0 else 1 % d) x'
where (x', d) = divMod x 10
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CROSSREFS
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Sequence in context: A053831 A263131 A274206 * A067453 A203814 A280505
Adjacent sequences: A214946 A214947 A214948 * A214950 A214951 A214952
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KEYWORD
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nonn,base,frac
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AUTHOR
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Reinhard Zumkeller, Aug 02 2012
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STATUS
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approved
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