A213633 [A000027/A007978], where [ ] = floor.

0, 0, 1, 1, 2, 1, 3, 2, 4, 3, 5, 2, 6, 4, 7, 5, 8, 4, 9, 6, 10, 7, 11, 4, 12, 8, 13, 9, 14, 7, 15, 10, 16, 11, 17, 7, 18, 12, 19, 13, 20, 10, 21, 14, 22, 15, 23, 9, 24, 16, 25, 17, 26, 13, 27, 18, 28, 19, 29, 8, 30, 20, 31, 21, 32, 16, 33, 22, 34, 23, 35, 14, 36, 24, 37

Offset

1,5

Comments

a(n) = floor(n/m), where m is the least positive nondivisor of n, as in A007978.

Links

Peter Kagey, Table of n, a(n) for n = 1..10000

Example

a(10) = floor(10/3) = 3.

Mathematica

y=120; z=2000;
t = Table[k := 1; While[Mod[n, k] == 0, k++]; k, {n, 1, z}]  (* A007978 *)
Table[Floor[n/t[[n]]], {n, 1, y}] (* A213633 *)
Table[n - Floor[n/t[[n]]], {n, 1, y}] (* A213634 *)
Table[t[[n]]*Floor[n/t[[n]]], {n, 1, y}] (* A213635 *)
t1 = Table[n - t[[n]]*Floor[n/t[[n]]], {n, 1, z}] (* A213636 *)
Flatten[Position[t1, 1]] (* A213637 *)
Flatten[Position[t1, 2]] (* A213638 *)

Crossrefs

Cf. A007978, A213634, A213635, A213636, A213637, A213638.

Sequence in context: A257902 A257909 A289439 * A289436 A282745 A097140

Adjacent sequences: A213630 A213631 A213632 * A213634 A213635 A213636

Keyword

nonn,easy

Author

Clark Kimberling, Jun 16 2012

Status

approved