A130692 a(n) is the smallest number m such that the sum of the digits of n+m is n.

0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 180, 279, 378, 477, 576, 675, 774, 873, 972, 1971, 2970, 3969, 4968, 5967, 6966, 7965, 8964, 9963, 19962, 29961, 39960, 49959, 59958, 69957, 79956, 89955, 99954, 199953, 299952, 399951

Offset

0,10

Comments

All the numbers are divisible by 9.

Links

Table of n, a(n) for n=0..47.

Example

a(17) = 72 because 89 is the smallest number having digit sum 17 and 17+ 72=89.

Mathematica

a[n_] := Module[{k}, k=0; While[Not[Plus@@IntegerDigits[n + k] == n], k = k + 9]; k]; Table[a[n], {n, 1, 50}]

Crossrefs

Sequence in context: A044052 A131418 A249605 * A043453 A028439 A178896

Adjacent sequences: A130689 A130690 A130691 * A130693 A130694 A130695

Keyword

base,easy,nonn

Author

Paolo P. Lava and Giorgio Balzarotti, Jul 09 2007

Extensions

Edited by Stefan Steinerberger, Jul 14 2007

Status

approved