A352441 Numbers k whose decimal expansion ends in the sum of the first three digits of k.

910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 1001, 1012, 1023, 1034, 1045, 1056, 1067, 1078, 1089, 1102, 1113, 1124, 1135, 1146, 1157, 1168, 1179, 1203, 1214, 1225, 1236, 1247, 1258, 1269, 1304, 1315, 1326, 1337, 1348, 1359, 1405, 1416, 1427, 1438, 1449, 1506, 1517, 1528, 1539, 1607, 1618, 1629

Offset

1,1

Links

Table of n, a(n) for n=1..52.

Example

   910 is a term because  "910" ends with "10" = 9 + 1 + 0;
   911 is a term because  "911" ends with "11" = 9 + 1 + 1;
  1629 is a term because "1629" ends with  "9" = 1 + 6 + 2; etc.

Mathematica

q[n_] := Module[{d = IntegerDigits[n], s, ds, nds}, s = Plus @@ d[[1 ;; 3]]; ds = IntegerDigits[s]; nds = Length[ds]; ds == d[[-nds ;; -1]]]; Select[Range[100, 1700], q] (* Amiram Eldar, Mar 16 2022 *)

Prog

(Python)
def ok(n):
    s = str(n)
    return n > 99 and s.endswith(str(sum(map(int, s[:3]))))
print([k for k in range(1630) if ok(k)]) # Michael S. Branicky, Mar 16 2022

Crossrefs

Cf. A352438, A352438, A352440.

Sequence in context: A216930 A332190 A015278 * A210170 A068261 A119520

Adjacent sequences: A352438 A352439 A352440 * A352442 A352443 A352444

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Mar 16 2022

Status

approved