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

Author

David A. Corneth, Oct 18 2020

Keywords

• nonn
• base

Comments

Intersection of A009994 and A249334.

Examples

			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.
		

Crossrefs

Cf. A009994, A249334.

Programs

PARI

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