A181178 n-th zerofree positive number with digital sum n.

1, 11, 21, 31, 41, 51, 61, 71, 81, 118, 137, 165, 193, 257, 294, 376, 467, 567, 676, 785, 894, 1399, 1778, 1986, 2887, 3869, 4869, 5878, 6887, 7896, 8959, 9968, 18798, 26998, 35999, 45999, 56899, 66989, 76998, 87799

Offset: 1

Author

Jonathan Vos Post, Jan 25 2011

Keywords

• nonn
• base
• easy

Comments

n-th value in n-th row of triangular array A069800 in which n-th row consists of numbers (excluding the digit 0) with digit sum n arranged in increasing numerical order.

For n > 376, a(n) has decimal representation xyy...y, where x = (n+1) mod 9 + 1, and among y's exactly two equal 8 and the rest equal 9. For example, a(377) = 1999999998999999999999999999999999989999999. - Max Alekseyev, Aug 20 2013

Examples

			a(1) = 1 because 1 is the 1st number with digital sum 1;
a(2) = 11 because 11 is the 2nd number with digital sum 2 {2,11};
a(3) = 21 because 21 is the 3rd (zerofree positive) number with digital sum 3 {3,12,21,111};
a(4) = 31 because 31 is the 4th (zerofree positive) number with digital sum 4 {4,13,22,31,112,121,211,1111}.
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..70

Crossrefs

Cf. A007953, A052382, A069800, A081927.

Programs

Mathematica

nn=50; c=Table[0,{nn}]; t=c; cnt=0; n=0; While[cnt