The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A333295 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A333295

Triangle read by rows: T(m,n) = Sum_{1 <= i <= m, 1 <= j <= n, gcd{i,j}=1} 1, where m >= n >= 1.
(history; published version)

#8 by N. J. A. Sloane at Wed Mar 25 11:44:11 EDT 2020

STATUS

proposed

approved

#7 by N. J. A. Sloane at Tue Mar 24 21:30:00 EDT 2020

STATUS

editing

proposed

#6 by N. J. A. Sloane at Tue Mar 24 21:29:57 EDT 2020

COMMENTS

This is the same triangle as A331781, except the initial row and column of 0's is missing.

EXAMPLE

Triangle begins:

1,

2, 3,

3, 5, 7,

4, 6, 9, 11,

5, 8, 12, 15, 19,

6, 9, 13, 16, 21, 23,

7, 11, 16, 20, 26, 29, 35,

8, 12, 18, 22, 29, 32, 39, 43,

9, 14, 20, 25, 33, 36, 44, 49, 55,

10, 15, 22, 27, 35, 38, 47, 52, 59, 63,

11, 17, 25, 31, 40, 44, 54, 60, 68, 73, 83,

12, 18, 26, 32, 42, 46, 57, 63, 71, 76, 87, 91,

...

MAPLE

V0 := proc(m, n) local a, i, j; a:=0;

for i from 1 to m do for j from 1 to n do

if igcd(i, j)=1 then a:=a+1; fi; od: od: a; end;

for m from 1 to 14 do lprint([seq(V0(m, n), n=1..m)]); od:

CROSSREFS

Cf. A331781. Main diagonal is A018805.

KEYWORD

nonn,new,tabl

#5 by N. J. A. Sloane at Tue Mar 24 21:25:44 EDT 2020

NAME

Triangle read by rows: T(m,n) = Sum_{01 <= i <= m, 01 <= j <= n, gcd{i,j}=1} 1, where m >= n >= 1.

#4 by N. J. A. Sloane at Tue Mar 24 21:23:54 EDT 2020

NAME

qqqqqqq

Triangle read by rows: T(m,n) = Sum_{0<i<m, 0<j<n, gcd{i,j}=1} 1, where m >= n >= 1.

STATUS

approved

editing

#3 by N. J. A. Sloane at Tue Mar 24 21:23:42 EDT 2020

STATUS

editing

approved

#2 by N. J. A. Sloane at Tue Mar 24 21:23:18 EDT 2020

NAME

allocated for N. J. A. Sloane

qqqqqqq

DATA

1, 2, 3, 3, 5, 7, 4, 6, 9, 11, 5, 8, 12, 15, 19, 6, 9, 13, 16, 21, 23, 7, 11, 16, 20, 26, 29, 35, 8, 12, 18, 22, 29, 32, 39, 43, 9, 14, 20, 25, 33, 36, 44, 49, 55, 10, 15, 22, 27, 35, 38, 47, 52, 59, 63, 11, 17, 25, 31, 40, 44, 54, 60, 68, 73, 83, 12, 18, 26, 32, 42, 46, 57, 63, 71, 76, 87, 91

OFFSET

1,2

KEYWORD

allocated

nonn

AUTHOR

N. J. A. Sloane, Mar 24 2020

STATUS

approved

editing

#1 by N. J. A. Sloane at Sat Mar 14 07:30:57 EDT 2020

NAME

allocated for N. J. A. Sloane

KEYWORD

allocated

STATUS

approved