A249443 Numbers with digits in nondecreasing order and digital sum not larger than the product of the digits.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 44, 45, 46, 47, 48, 49, 55, 56, 57, 58, 59, 66, 67, 68, 69, 77, 78, 79, 88, 89, 99, 123, 124, 125, 126, 127, 128, 129, 133, 134, 135, 136, 137, 138, 139, 144, 145, 146, 147, 148, 149, 155, 156, 157, 158

Offset: 1

Author

M. F. Hasler, Oct 29 2014

Keywords

• nonn
• base

Comments

Intersection of A009994 and A062998.

Except for the initial 0, a subsequence of the zeroless numbers A052382.

The nonzero terms of this sequence correspond to a term of A061672 obtained by concatenation with A002275(A007954(a(n))-A007953(a(n))).

Crossrefs

Cf. A007953, A007954, A034710, A061672, A249334.

Programs

PARI

is(n)={vecsort(n=digits(n))==n && normlp(n,1)<=prod(i=1,#n,n[i])}