%I #7 Oct 19 2020 04:23:47
%S 1,2,3,4,5,6,7,8,9,22,99,123,1124,1137,3344,11125,11133,11222,11558,
%T 22334,111126,111339,222233,1111127,1111134,1111278,1112779,11111128,
%U 11111223,11111478,11111479,11112455,111111129,111111135,111111447,111111559,111111667,111112278
%N Positive integers k with digits in nondecreasing order for which the digital sum contains the same distinct digits as the digital product.
%C Intersection of A009994 and A249334.
%e 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.
%o (PARI) is(n) = {my(d); if(vecsort(d = digits(n)) != d, return(0)); Set(digits(vecprod(d))) == Set(digits(vecsum(d)))}
%Y Cf. A009994, A249334.
%K nonn,base
%O 1,2
%A _David A. Corneth_, Oct 18 2020
