A376314 - OEIS

%I #7 Sep 25 2024 10:00:00

%S 0,1,10,11,12,21,100,101,102,110,111,112,113,120,121,122,132,201,210,

%T 211,221,231,311,1000,1001,1002,1010,1011,1012,1013,1020,1021,1022,

%U 1032,1100,1101,1102,1103,1110,1111,1112,1113,1114,1120,1121,1122,1123,1130

%N Nonnegative numbers k with digital sum d such that any positive integer <= d is the sum of contiguous digits of k.

%C If m is a term, then 10*m and 10*m + 1 are also terms.

%H Rémy Sigrist, <a href="/A376314/b376314.txt">Table of n, a(n) for n = 1..10000</a>

%e The number 2331 has digital sum 9 and belongs to the sequence as 1 = 1, 2 = 2, 3 = 3, 4 = 3+1, 5 = 2+3, 6 = 3+3, 7 = 3+3+1, 8 = 2+3+3, 9 = 2+3+3+1.

%o (PARI) is(n) = { my (r = concat(0, digits(n))); #setbinop((i, j) -> vecsum(r[i..j]), [1..#r])==vecsum(r)+1; }

%Y Cf. A007953, A296447, A376423.

%K nonn,base

%O 1,3

%A _Rémy Sigrist_, Sep 20 2024