A167831 Largest m<=n such that no carry occurs when adding m to n in decimal arithmetic.

0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 10, 11, 12, 13, 14, 14, 13, 12, 11, 10, 20, 21, 22, 23, 24, 24, 23, 22, 21, 20, 30, 31, 32, 33, 34, 34, 33, 32, 31, 30, 40, 41, 42, 43, 44, 44, 43, 42, 41, 40, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27

Offset

0,3

Comments

A167832(n) = a(n) + n.

Links

R. Zumkeller, Table of n, a(n) for n = 0..9999

Prog

(Haskell)
a167831 n = head [x | let ds = a031298_row n, x <- [n, n-1 ..],
                      all (< 10) $ zipWith (+) ds (a031298_row x)]
-- Reinhard Zumkeller, Mar 15 2014

Crossrefs

Cf. A167877, A035327 for the ternary and binary cases.

Cf. A031298.

Sequence in context: A133852 A093150 A301297 * A090281 A316823 A051951

Adjacent sequences: A167828 A167829 A167830 * A167832 A167833 A167834

Keyword

base,nonn,look

Author

Reinhard Zumkeller, Nov 14 2009

Status

approved