A120911 Triangle read by rows where t(n,m) is the (floor(n/m))th integer from among those positive integers not occurring earlier in the sequence.

1, 3, 2, 6, 4, 5, 10, 8, 7, 9, 15, 12, 11, 13, 14, 21, 18, 17, 16, 19, 20, 28, 24, 23, 22, 25, 26, 27, 36, 32, 30, 31, 29, 33, 34, 35, 45, 40, 39, 38, 37, 41, 42, 43, 44, 55, 50, 48, 47, 49, 46, 51, 52, 53, 54, 66, 60, 58, 57, 59, 56, 61, 62, 63, 64, 65, 78, 72, 70, 69, 68, 71

Offset

1,2

Links

Ivan Neretin, Table of n, a(n) for n = 1..5050

Formula

T(n,k) = n(n-1)/2 + U(n,k), where U(n,1) = n, U(n,k) = k-1 if floor(n/k) = floor(n/(k-1)), otherwise U(n,k) = floor(n/k). - Franklin T. Adams-Watters, Jul 25 2006

Mathematica

a = {1}; Do[r = Quotient[n, k]; AppendTo[a, Complement[Range[Max@a + r + 1], a][[r]]], {n, 2, 12}, {k, n}]; a (* Ivan Neretin, Dec 15 2016 *)

Crossrefs

Cf. A120912, A120913.

Sequence in context: A195077 A191429 A191655 * A064789 A195111 A274315

Adjacent sequences: A120908 A120909 A120910 * A120912 A120913 A120914

Keyword

easy,nonn,tabl

Author

Leroy Quet, Jul 15 2006

Extensions

More terms from Franklin T. Adams-Watters, Jul 25 2006

Status

approved