A010783 Triangle of numbers floor(n/(n-k)).

1, 1, 2, 1, 1, 3, 1, 1, 2, 4, 1, 1, 1, 2, 5, 1, 1, 1, 2, 3, 6, 1, 1, 1, 1, 2, 3, 7, 1, 1, 1, 1, 2, 2, 4, 8, 1, 1, 1, 1, 1, 2, 3, 4, 9, 1, 1, 1, 1, 1, 2, 2, 3, 5, 10, 1, 1, 1, 1, 1, 1, 2, 2, 3, 5, 11, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 12, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6, 13

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10011

Example

Triangle T(n,k) begins:
  1;
  1, 2;
  1, 1, 3;
  1, 1, 2, 4;
  1, 1, 1, 2, 5;
  1, 1, 1, 2, 3, 6;
  1, 1, 1, 1, 2, 3, 7;
  1, 1, 1, 1, 2, 2, 4, 8;
  1, 1, 1, 1, 1, 2, 3, 4, 9;
  1, 1, 1, 1, 1, 2, 2, 3, 5, 10;
  1, 1, 1, 1, 1, 1, 2, 2, 3,  5, 11;
  1, 1, 1, 1, 1, 1, 2, 2, 3,  4,  6, 12;
  1, 1, 1, 1, 1, 1, 1, 2, 2,  3,  4,  6, 13;
  1, 1, 1, 1, 1, 1, 1, 2, 2,  2,  3,  4,  7, 14;
  1, 1, 1, 1, 1, 1, 1, 1, 2,  2,  3,  3,  5,  7, 15;
  ...

Maple

T:= (n, k)-> floor(n/(n-k)):
seq(seq(T(n, k), k=0..n-1), n=1..15);  # Alois P. Heinz, Jul 15 2011

Prog

(Haskell)
a010783 n k = (n + 1 - k) `div` k
a010783_row n = a010783_tabl !! (n-1)
a010783_tabl = map reverse a010766_tabl
-- Reinhard Zumkeller, Apr 29 2015

Crossrefs

Row sums give A006218.

Cf. A010766 (mirrored), A024920, A059851, A355947.

Sequence in context: A055169 A205131 A175892 * A306680 A083312 A032435

Adjacent sequences: A010780 A010781 A010782 * A010784 A010785 A010786

Keyword

nonn,tabl

Author

N. J. A. Sloane

Status

approved