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.

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

Offset

1,1

Comments

Intersection of A009994 and A249335.

Links

Table of n, a(n) for n=1..28.

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

Cf. A009994, A249335.

Sequence in context: A196600 A074786 A249335 * A201044 A196577 A259693

Adjacent sequences: A338255 A338256 A338257 * A338259 A338260 A338261

Keyword

nonn,base

Author

David A. Corneth, Oct 18 2020

Status

approved