A082504 Largest k such that the sum of sums of decimal digits of the next k numbers > n does not exceed 10.

4, 3, 2, 2, 1, 1, 1, 1, 2, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 2, 2, 1, 1, 1

Offset

0,1

Comments

a(n) <= 4; a(n) = 4 iff n = 10^e - 1 (see A002283).

Links

Alois P. Heinz, Table of n, a(n) for n = 0..20000

Maple

b:= proc(n) option remember; add(i, i=convert(n, base, 10)) end:
a:= proc(n) option remember; local k, s; s:=0;
      for k do s:=s+b(n+k); if s>10 then break fi od; k-1
    end:
seq(a(n), n=0..105);  # Alois P. Heinz, Dec 10 2025

Crossrefs

Cf. A007953.

Sequence in context: A294280 A108438 A347738 * A237524 A266143 A171623

Adjacent sequences: A082501 A082502 A082503 * A082505 A082506 A082507

Keyword

nonn,base

Author

Reinhard Zumkeller, May 22 2003

Status

approved