A248794 a(n) = the smallest number k for which the sum of digits (A007953(k)) and the product of digits (A007954(k)) are both equal to A002473(n).

1, 2, 3, 4, 5, 6, 7, 8, 9, 11125, 111126, 1111127, 111111135, 11111128, 111111129, 1111111111145, 1111111111137, 111111111111138, 11111111111111155, 11111111111111139, 1111111111111111147, 111111111111111111156, 1111111111111111111148, 1111111111111111111111157

Offset: 1

Author

Jaroslav Krizek, Nov 02 2014

Keywords

• nonn
• base

Comments

See comment in A034710 (positive numbers for which the sum of digits equals the product of digits).

Examples

			For n = 11; a(11) = 111126 because A002473(11) = 12, A007953(111126) = A007954(111126) = 12.
		

Crossrefs

Cf. A002473, A034710, A007953, A007954.

Programs

Magma

A248794:=func; [A248794(n):n in[A002473(n)]]

Extensions

Name clarified by Andrew Howroyd, Sep 20 2024