|
|
A061219
|
|
a(n) is the largest number which can be formed with no zeros, using least number of digits and having digit sum = n.
|
|
2
|
|
|
1, 2, 3, 4, 5, 6, 7, 8, 9, 91, 92, 93, 94, 95, 96, 97, 98, 99, 991, 992, 993, 994, 995, 996, 997, 998, 999, 9991, 9992, 9993, 9994, 9995, 9996, 9997, 9998, 9999, 99991, 99992, 99993, 99994, 99995, 99996, 99997, 99998, 99999, 999991, 999992, 999993, 999994
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
a(n) is the digit reversal of terms of A051885 giving such smallest numbers.
|
|
LINKS
|
|
|
EXAMPLE
|
a(22) = 994, digit sum = 22.
a(100) = 999999999991.
|
|
MATHEMATICA
|
dsn[n_]:=Module[{d=Quotient[n, 9]}, FromDigits[PadLeft[{n-9d}, d, 9]]]; If[Divisible[#, 10], #/10, #]&/@Array[dsn, 50, 10] (* Harvey P. Dale, Dec 08 2013 *)
|
|
PROG
|
(Python)
def a(n): return int("9"*(n//9)+str(n%9)*(n%9>0))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|