A338257 Positive integers k with digits in nondecreasing order for which the digital sum contains the same distinct digits as the digital product.

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

Offset

1,2

Comments

Intersection of A009994 and A249334.

Links

Table of n, a(n) for n=1..38.

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

Cf. A009994, A249334.

Sequence in context: A110002 A232709 A249334 * A064158 A064702 A034710

Adjacent sequences: A338254 A338255 A338256 * A338258 A338259 A338260

Keyword

nonn,base

Author

David A. Corneth, Oct 18 2020

Status

approved