|
|
A176809
|
|
Triangle read by rows: T(n,m) = 1 - (ceiling((n-1)/m) + ceiling((n-1)/(n-m+1))) + ceiling((n-1)/1) + ceiling((n-1)/(n-1+1)).
|
|
0
|
|
|
1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 2, 3, 1, 1, 3, 3, 3, 3, 1, 1, 4, 4, 4, 4, 4, 1, 1, 4, 4, 5, 5, 4, 4, 1, 1, 5, 5, 6, 6, 6, 5, 5, 1, 1, 5, 6, 6, 7, 7, 6, 6, 5, 1, 1, 6, 6, 7, 8, 8, 8, 7, 6, 6, 1, 1, 6, 7, 8, 8, 9, 9, 8, 8, 7, 6, 1, 1, 7, 8, 9, 9, 10, 10, 10, 9, 9, 8, 7, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,5
|
|
COMMENTS
|
Row sums are {1, 2, 4, 6, 10, 14, 22, 28, 40, 50, ...}.
|
|
LINKS
|
|
|
FORMULA
|
T(n,m) = 1 - (ceiling((n-1)/m) + ceiling((n-1)/(n-m+1))) + ceiling((n-1)/1) + ceiling((n-1)/(n-1+1)).
|
|
EXAMPLE
|
{1},
{1, 1},
{1, 2, 1},
{1, 2, 2, 1},
{1, 3, 2, 3, 1},
{1, 3, 3, 3, 3, 1},
{1, 4, 4, 4, 4, 4, 1},
{1, 4, 4, 5, 5, 4, 4, 1},
{1, 5, 5, 6, 6, 6, 5, 5, 1},
{1, 5, 6, 6, 7, 7, 6, 6, 5, 1}
|
|
MATHEMATICA
|
t[n_, m_] = 1 - (Ceiling[(n - 1)/m] + Ceiling[(n - 1)/(n - m + 1)]) + Ceiling[(n - 1)/1] + Ceiling[(n - 1)/(n - 1 + 1)];
Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}];
Flatten[%]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|