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Search: a316846 -id:a316846
Displaying 1-5 of 5 results found. page 1
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A316842 Three-column table read by rows giving primitive integer sides of proper triangles (i,j,k) with i >= j >= k >= 1, j+k > i, gcd(i,j,k) = 1. +10
11
1, 1, 1, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 4, 1, 4, 4, 3, 5, 3, 3, 5, 4, 2, 5, 4, 3, 5, 4, 4, 5, 5, 1, 5, 5, 2, 5, 5, 3, 5, 5, 4, 6, 4, 3, 6, 5, 2, 6, 5, 3, 6, 5, 4, 6, 5, 5, 6, 6, 1, 6, 6, 5, 7, 4, 4, 7, 5, 3, 7, 5, 4, 7, 5, 5, 7, 6, 2, 7, 6, 3, 7, 6, 4, 7, 6, 5, 7, 6, 6, 7, 7, 1, 7, 7, 2, 7, 7, 3, 7, 7, 4, 7, 7, 5, 7, 7, 6, 8, 5, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,4
LINKS
Lars Blomberg, Table of n, a(n) for n = 1..9000
EXAMPLE
Table begins:
[1,1,1],
[2,2,1],
[3,2,2],
[3,3,1],
[3,3,2],
[4,3,2],
[4,3,3],
[4,4,1],
[4,4,3],
[5,3,3],
[5,4,2],
...
CROSSREFS
There are A123323(k) rows that begin with k.
The three columns are A316846, A316847, A316848.
A316850 is a compressed version.
See A316841 for all triples (including imprimitive triples).
See A316852 and A317181 & A317183 for perimeter and area.
Other related sequences: A051493, A070080, A070081, A070082, A070110.
KEYWORD
nonn,tabf,look
AUTHOR
N. J. A. Sloane, Jul 23 2018, following a suggestion from Donald S. McDonald
STATUS
approved
A316847 Column 2 of table A316842. +10
6
1, 2, 2, 3, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Lars Blomberg, Table of n, a(n) for n = 1..3000
CROSSREFS
Cf. A316842, A316846, A316848.
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 23 2018
EXTENSIONS
Terms a(54) and beyond from Lars Blomberg, Jul 27 2018
STATUS
approved
A316848 Column 3 of table A316842. +10
6
1, 1, 2, 1, 2, 2, 3, 1, 3, 3, 2, 3, 4, 1, 2, 3, 4, 3, 2, 3, 4, 5, 1, 5, 4, 3, 4, 5, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 4, 5, 3, 5, 2, 3, 4, 5, 6, 7, 1, 3, 5, 7, 5, 4, 5, 3, 4, 5, 6, 7, 2, 3, 4, 5, 6, 7, 8, 1, 2, 4, 5, 7, 8, 5, 4, 5, 6, 7, 3, 5, 7, 2, 3, 4, 5, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Lars Blomberg, Table of n, a(n) for n = 1..3000
CROSSREFS
Cf. A316842, A316846, A316847.
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 23 2018
EXTENSIONS
Terms a(54) and beyond from Lars Blomberg, Jul 27 2018
STATUS
approved
A316852 Consider primitive integer triangles as listed in rows of table A316842. Sequence gives perimeters of these triangles in the same order. +10
4
3, 5, 7, 7, 8, 9, 10, 9, 11, 11, 11, 12, 13, 11, 12, 13, 14, 13, 13, 14, 15, 16, 13, 17, 15, 15, 16, 17, 15, 16, 17, 18, 19, 15, 16, 17, 18, 19, 20, 17, 18, 17, 19, 17, 18, 19, 20, 21, 22, 17, 19, 21, 23, 19, 19, 20, 19, 20, 21, 22, 23, 19, 20, 21, 22, 23, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The only missing numbers are 1,2,4,6.
LINKS
Lars Blomberg, Table of n, a(n) for n = 1..3000
CROSSREFS
Cf. A316841, A316842, A316851.
a(n) = A316846(n)+A316847(n)+A316848(n).
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 23 2018
EXTENSIONS
Terms a(54) and beyond from Lars Blomberg, Jul 27 2018
STATUS
approved
A317181 Consider primitive integer triangles as listed in rows of table A316842. Sequence gives 16*area^2 for these triangles in the same order. +10
3
3, 15, 63, 35, 128, 135, 320, 63, 495, 275, 231, 576, 975, 99, 384, 819, 1344, 455, 351, 896, 1575, 2304, 143, 2975, 735, 675, 1536, 2499, 495, 1280, 2295, 3456, 4655, 195, 768, 1683, 2880, 4275, 5760, 1071, 2304, 935, 3591, 663, 1728, 3135, 4800, 6615, 8448, 255, 2223, 5775, 10143 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Lars Blomberg, Table of n, a(n) for n = 1..3000
FORMULA
a(n) = 16*s*(s-a)*(s-b)*(s-c) where s = A316851(n)/2, and a,b,c are A316843(n), A316844(n), A316845(n).
CROSSREFS
Cf. A316842, A316852, A316846, A316847, A316848.
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 23 2018
STATUS
approved
page 1

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Last modified August 30 07:09 EDT 2024. Contains 375532 sequences. (Running on oeis4.)