A061219 a(n) is the largest number which can be formed with no zeros, using least number of digits and having digit sum = n.

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

Offset

1,2

Comments

a(n) is the digit reversal of terms of A051885 giving such smallest numbers.

Links

Michael S. Branicky, Table of n, a(n) for n = 1..9000

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))
print([a(n) for n in range(1, 50)]) # Michael S. Branicky, Aug 16 2023

Crossrefs

Cf. A051885.

Sequence in context: A198486 A061805 A280658 * A071271 A066492 A348834

Adjacent sequences: A061216 A061217 A061218 * A061220 A061221 A061222

Keyword

nonn,base

Author

Amarnath Murthy, Apr 22 2001

Extensions

More terms from Harvey P. Dale, Dec 08 2013

Offset corrected by Michael S. Branicky, Aug 16 2023

Status

approved