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

Author

Len Smiley

Keywords

• fini
• full
• nonn
• base

Comments

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

Examples

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

Crossrefs

Condensation (by ordering digits) and completion of A037264.

Programs

Haskell

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