A214958 - OEIS

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A214958

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

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, 200, 202, 220, 236, 244, 263, 300, 306, 326, 333, 360, 362, 400, 404, 424, 440, 442, 488, 500, 600, 603, 606, 623, 630, 632, 660, 666, 700, 800, 808, 848, 880, 884

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

A214949(a(n)) = 1.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

MATHEMATICA

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

PROG

(Haskell)

a214958 n = a214958_list !! (n-1)