A045910 Numbers with digits nondecreasing and their reciprocals sum to 1/(positive integer).

1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 36, 44, 66, 88, 236, 244, 333, 488, 666, 999, 2488, 2666, 3366, 3446, 4444, 6999, 8888, 26999, 28888, 33999, 34688, 36666, 44488, 44666, 55555, 366999, 368888, 446999, 448888, 466688, 666666, 3999999, 4688999, 4888888, 6666999, 6668888, 7777777, 66999999, 68888999, 88888888, 999999999

Offset

1,2

Comments

Intersection of A037264 and A009994, A214949(a(n)) = 1. - Reinhard Zumkeller, Aug 02 2012

Links

Table of n, a(n) for n=1..51.

Example

1/3 + 1/4 + 1/6 + 1/8 + 1/8 = 1/1, so 34688 is in the sequence.

Prog

(Haskell)
a045910 n = a045910_list !! (n-1)
a045910_list =  [x | x <- takeWhile (<= 999999999) $ a009994_list,
                     a214949 x == 1]
-- Reinhard Zumkeller, Aug 02 2012

Crossrefs

Condensation (by ordering digits) and completion of A037264.

Sequence in context: A061013 A037264 A274124 * A128290 A110002 A232709

Adjacent sequences: A045907 A045908 A045909 * A045911 A045912 A045913

Keyword

fini,full,nonn,base

Author

Len Smiley

Status

approved