A161351 a(n) = n + sum_of_digits(n) + product_of_digits(n).

3, 6, 9, 12, 15, 18, 21, 24, 27, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 55, 62, 69, 76, 83, 90, 97, 104, 111, 118, 66, 74, 82, 90, 98, 106, 114, 122, 130

Offset: 1

Author

Claudio Meller, Jun 07 2009

Keywords

• nonn
• base

Comments

a(10) = 10 + (1 + 0) + (1*0) = 11 ; a(19) = 19 + (9 + 1) + (9*1) = 38.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A007953, A007954, A011540, A062028.

Programs

Mathematica

Table[n+Total[IntegerDigits[n]]+Times@@IntegerDigits[n],{n,70}] (* Harvey P. Dale, Jun 07 2020 *)

PARI

a(n) = my(d=digits(n)); n + vecsum(d) + vecprod(d); \\ Michel Marcus, Nov 12 2022

Python

from math import prod
def a(n): d = list(map(int, str(n))); return n + sum(d) + prod(d)
print([a(n) for n in range(1, 71)]) # Michael S. Branicky, Nov 20 2022

Formula

a(n) = n + A007953(n) + A007954(n). - Michel Marcus, Nov 12 2022

If n contains a digit 0 (A011540), then a(n) = A062028(n). - Bernard Schott, Nov 12 2022