A278111 Triangle T(n,k) = floor(2n^2/k) for 1 <= k <= 2n^2, read by rows.

2, 1, 8, 4, 2, 2, 1, 1, 1, 1, 18, 9, 6, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 32, 16, 10, 8, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 50, 25, 16, 12, 10, 8, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset

1,1

Links

Jason Kimberley, Table of i, a(i) for i = 1..11050 (T(n,k) for n = 1..25)

Formula

T(n,k) = A010766(2n^2,k).

Example

The first five rows are:
2, 1;
8, 4, 2, 2, 1, 1, 1, 1;
18, 9, 6, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1;
32, 16, 10, 8, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
50, 25, 16, 12, 10, 8, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

Prog

(Magma)
A278111:=func<n, k|(2*n^2)div k>;
[A278111(n, k):k in[1..2*n^2], n in[1..5]];

Crossrefs

Cf. A277646.

Sequence in context: A341724 A089460 A308695 * A223550 A178102 A245836

Adjacent sequences: A278108 A278109 A278110 * A278112 A278113 A278114

Keyword

nonn,tabf,easy

Author

Jason Kimberley, Feb 08 2017

Status

approved