

A338257


Positive integers k with digits in nondecreasing order for which the digital sum contains the same distinct digits as the digital product.


0



1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 99, 123, 1124, 1137, 3344, 11125, 11133, 11222, 11558, 22334, 111126, 111339, 222233, 1111127, 1111134, 1111278, 1112779, 11111128, 11111223, 11111478, 11111479, 11112455, 111111129, 111111135, 111111447, 111111559, 111111667, 111112278
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OFFSET

1,2


COMMENTS



LINKS



EXAMPLE

3344 is in the sequence as its digits are in nondecreasing order and the digital sum is 14 and the digital product is 144. The digits of the latter two are either 1 or 4.


PROG

(PARI) is(n) = {my(d); if(vecsort(d = digits(n)) != d, return(0)); Set(digits(vecprod(d))) == Set(digits(vecsum(d)))}


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



