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A211267 Number of integer pairs (x,y) such that 0<x<y<=n and x*y<=3n. 9
0, 1, 3, 6, 9, 12, 16, 20, 23, 28, 32, 37, 40, 46, 51, 56, 60, 65, 71, 77, 81, 87, 91, 99, 103, 109, 115, 121, 125, 133, 138, 145, 150, 156, 163, 169, 174, 181, 187, 196, 199, 207, 212, 220, 226, 232, 239, 247, 252, 259, 265, 274, 277, 287, 293, 301, 307 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For a guide to related sequences, see A211266.

LINKS

Table of n, a(n) for n=1..57.

EXAMPLE

a(5) counts these pairs: (1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5)

MATHEMATICA

a = 1; b = n; z1 = 120;

t[n_] := t[n] = Flatten[Table[x*y, {x, a, b - 1},

{y, x + 1, b}]]

c[n_, k_] := c[n, k] = Count[t[n], k]

Table[c[n, n], {n, 1, z1}]           (* A056924 *)

Table[c[n, n + 1], {n, 1, z1}]       (* A211159 *)

Table[c[n, 2*n], {n, 1, z1}]         (* A211261 *)

Table[c[n, 3*n], {n, 1, z1}]         (* A211262 *)

Table[c[n, Floor[n/2]], {n, 1, z1}]  (* A211263 *)

Print

c1[n_, m_] := c1[n, m] = Sum[c[n, k], {k, a, m}]

Table[c1[n, n], {n, 1, z1}]          (* A211264 *)

Table[c1[n, n + 1], {n, 1, z1}]      (* A211265 *)

Table[c1[n, 2*n], {n, 1, z1}]        (* A211266 *)

Table[c1[n, 3*n], {n, 1, z1}]        (* A211267 *)

Table[c1[n, Floor[n/2]], {n, 1, z1}] (* A181972 *)

CROSSREFS

Cf. A211266.

Sequence in context: A276854 A184906 A186156 * A084515 A084525 A130248

Adjacent sequences:  A211264 A211265 A211266 * A211268 A211269 A211270

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 06 2012

STATUS

approved

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Last modified December 12 07:07 EST 2018. Contains 318053 sequences. (Running on oeis4.)