A178787 Number of numbers <= n having distinct digits in their decimal representation, cf. A010784.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 66

Offset

0,2

Comments

a(m)<=a(n) for m<n and a(n)=8877690 for n>=9876543210;

a(A010784(n)) = n; a(A109303(n)) = a(A109303(n)-1);

partial sums of A178788.

Links

R. Zumkeller, Table of n, a(n) for n = 0..25000

Eric Weisstein's World of Mathematics, Digit

Example

a(12) = #{0,1,2,3,4,5,6,7,8,9,10,12} = 12;
a(24) = a(12) + #{13,14,15,16,17,18,19,20,21,23,24} = 23.

Mathematica

f[n_] := Length[ Select[ Range[0, n], Max[ DigitCount[#]] == 1 &]]; Array[f, 70, 0] (* Robert G. Wilson v, Dec 13 2016 after Harvey P. Dale in A010784 *)

Prog

(Haskell)
a178787 n = a178787_list !! n
a178787_list = scanl1 (+) a178788_list
-- Reinhard Zumkeller, Mar 15 2014

Crossrefs

Sequence in context: A180613 A254948 A072778 * A297241 A034326 A053833

Adjacent sequences: A178784 A178785 A178786 * A178788 A178789 A178790

Keyword

base,nonn

Author

Reinhard Zumkeller, Jun 30 2010

Status

approved