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A045910 Numbers with digits nondecreasing and their reciprocals sum to 1/(positive integer). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 8 07:37 EST 2021. Contains 349593 sequences. (Running on oeis4.)