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

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

CROSSREFS

Cf. A037264 (subsequence).

Sequence in context: A009995 A190219 A038367 * A161350 A108652 A140665

Adjacent sequences:  A214955 A214956 A214957 * A214959 A214960 A214961

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Aug 02 2012

STATUS

approved

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Last modified October 18 18:56 EDT 2019. Contains 328197 sequences. (Running on oeis4.)