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A338258 Positive integers with digits in nondecreasing order for which the digital sum contains the same distinct digits as the digital product but the digital sum is not equal to the digital product. 0
99, 1137, 3344, 11558, 22334, 111339, 222233, 1111278, 1112779, 11111478, 11111479, 11112455, 111111447, 111111559, 111111667, 111112278, 111112279, 111113557, 111113677, 111122255, 111135558, 1111111489, 1111112247, 1111113333, 1111116899, 1111145556, 1111555588, 1244455555 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Intersection of A009994 and A249335.
LINKS
EXAMPLE
22334 is in the sequence as its digital product is 144 and its digital sum is 14. The digits of the latter two are either 1 or 4 and the values 14 and 144 differ.
PROG
(PARI) is(n) = {my(d); if(vecsort(d = digits(n)) != d, return(0)); vp = vecprod(d); vs = vecsum(d); vp != vs && Set(digits(vp)) == Set(digits(vs))}
CROSSREFS
Sequence in context: A196600 A074786 A249335 * A201044 A196577 A259693
KEYWORD
nonn,base
AUTHOR
David A. Corneth, Oct 18 2020
STATUS
approved

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Last modified March 1 02:07 EST 2024. Contains 370429 sequences. (Running on oeis4.)