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

1,2

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

Links

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

Example

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}.

Mathematica

nn=50; c=Table[0, {nn}]; t=c; cnt=0; n=0; While[cnt<nn, n++; If[DigitCount[n, 10, 0]==0, s=Total[IntegerDigits[n]]; If[s<=nn, c[[s]]++; If[c[[s]]==s, t[[s]]=n; cnt++]]]]; t

Crossrefs

Cf. A007953, A052382, A069800, A081927.

Sequence in context: A110402 A330286 A081927 * A178205 A239464 A180105

Adjacent sequences: A181175 A181176 A181177 * A181179 A181180 A181181

Keyword

nonn,base,easy

Author

Jonathan Vos Post, Jan 25 2011

Status

approved