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A214958 Numbers for which the sum of reciprocals of nonzero digits is reciprocal of an integer. 4

%I

%S 1,2,3,4,5,6,7,8,9,10,20,22,30,36,40,44,50,60,63,66,70,80,88,90,100,

%T 200,202,220,236,244,263,300,306,326,333,360,362,400,404,424,440,442,

%U 488,500,600,603,606,623,630,632,660,666,700,800,808,848,880,884

%N Numbers for which the sum of reciprocals of nonzero digits is reciprocal of an integer.

%C A214949(a(n)) = 1.

%H Reinhard Zumkeller, <a href="/A214958/b214958.txt">Table of n, a(n) for n = 1..10000</a>

%t nsrQ[n_] := Numerator[Total[1/Select[IntegerDigits[n], # > 0 &]]] == 1; Select[Range[884], nsrQ] (* _Jayanta Basu_, Jul 13 2013 *)

%o (Haskell)

%o a214958 n = a214958_list !! (n-1)

%o a214958_list = [x | x <- [0..], a214949 x == 1]

%Y Cf. A037264 (subsequence).

%K nonn,base

%O 1,2

%A _Reinhard Zumkeller_, Aug 02 2012

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Last modified March 25 10:08 EDT 2019. Contains 321469 sequences. (Running on oeis4.)