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A161351
a(n) = n + sum_of_digits(n) + product_of_digits(n).
5
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
1,1
COMMENTS
a(10) = 10 + (1 + 0) + (1*0) = 11 ; a(19) = 19 + (9 + 1) + (9*1) = 38.
LINKS
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
MATHEMATICA
Table[n+Total[IntegerDigits[n]]+Times@@IntegerDigits[n], {n, 70}] (* Harvey P. Dale, Jun 07 2020 *)
PROG
(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
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Claudio Meller, Jun 07 2009
STATUS
approved