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A277646 Triangle T(n,k) = floor(n^2/k) for 1 <= k <= n^2, read by rows. 6
1, 4, 2, 1, 1, 9, 4, 3, 2, 1, 1, 1, 1, 1, 16, 8, 5, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 25, 12, 8, 6, 5, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 36, 18, 12, 9, 7, 6, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 49, 24, 16, 12, 9, 8, 7, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Jason Kimberley, Table of n, a(n) for n = 1..10416 (the first 31 rows of the triangle)

FORMULA

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

EXAMPLE

The first five rows of the triangle are:

1;

4, 2, 1, 1;

9, 4, 3, 2, 1, 1, 1, 1, 1;

16, 8, 5, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;

25, 12, 8, 6, 5, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

MATHEMATICA

Table[Floor[n^2/k], {n, 7}, {k, n^2}] // Flatten (* Michael De Vlieger, Nov 24 2016 *)

PROG

(MAGMA)

A277646:=func<n, k|n^2 div k>;

[A277646(n, k):k in[1..n^2], n in[1..7]];

CROSSREFS

Cf. Related triangles: A010766, A277647, A277648.

Rows of this triangle (with infinite trailing zeros):

T(1,k) = A000007(k-1),

T(2,k) = A033324(k),

T(3,k) = A033329(k),

T(4,k) = A033336(k),

T(5,k) = A033345(k),

T(6,k) = A033356(k),

T(7,k) = A033369(k),

T(8,k) = A033384(k),

T(9,k) = A033401(k),

T(10,k) = A033420(k),

T(100,k) = A033422(k),

T(10^3,k) = A033426(k),

T(10^4,k) = A033424(k).

Columns of this triangle:

T(n,1) = A000290(n),

T(n,2) = A007590(n),

T(n,3) = A000212(n),

T(n,4) = A002620(n),

T(n,5) = A118015(n),

T(n,6) = A056827(n),

T(n,7) = A056834(n),

T(n,8) = A130519(n+1),

T(n,9) = A056838(n),

T(n,10)= A056865(n),

T(n,12)= A174709(n+2).

Sequence in context: A024553 A051568 A016509 * A010313 A159823 A075826

Adjacent sequences:  A277643 A277644 A277645 * A277647 A277648 A277649

KEYWORD

nonn,tabf,easy

AUTHOR

Jason Kimberley, Nov 09 2016

STATUS

approved

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Last modified October 23 22:42 EDT 2019. Contains 328378 sequences. (Running on oeis4.)