|
Search: id:A155997
|
|
|
| A155997 |
|
Triangle read by rows: t0(n,m)=(Binomial[n, m] + (-1)^m*Binomial[n, m])/2; t(n,m)=t(n,m)+t0(n,n-m). |
|
+0
1
|
|
| 2, 1, 1, 2, 0, 2, 1, 3, 3, 1, 2, 0, 12, 0, 2, 1, 5, 10, 10, 5, 1, 2, 0, 30, 0, 30, 0, 2, 1, 7, 21, 35, 35, 21, 7, 1, 2, 0, 56, 0, 140, 0, 56, 0, 2, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 2, 0, 90, 0, 420, 0, 420, 0, 90, 0, 2
(list; table; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Row sums are:
{2, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024,...}
|
|
FORMULA
|
t0(n,m)=(Binomial[n, m] + (-1)^m*Binomial[n, m])/2;
t(n,m)=t(n,m)+t0(n,n-m).
|
|
EXAMPLE
|
{2},
{1, 1},
{2, 0, 2},
{1, 3, 3, 1},
{2, 0, 12, 0, 2},
{1, 5, 10, 10, 5, 1},
{2, 0, 30, 0, 30, 0, 2},
{1, 7, 21, 35, 35, 21, 7, 1},
{2, 0, 56, 0, 140, 0, 56, 0, 2},
{1, 9, 36, 84, 126, 126, 84, 36, 9, 1},
{2, 0, 90, 0, 420, 0, 420, 0, 90, 0, 2}
|
|
MATHEMATICA
|
Clear[t, n, m];
t[n_, m_] = (Binomial[n, m] + (-1)^m*Binomial[n, m])/2;
Table[Table[t[n, m] + t[n, n - m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
|
|
CROSSREFS
|
Sequence in context: A089062 A039980 A055138 this_sequence A123223 A088226 A117586
Adjacent sequences: A155994 A155995 A155996 this_sequence A155998 A155999 A156000
|
|
KEYWORD
|
nonn,tabl,uned
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 01 2009
|
|
|
Search completed in 0.002 seconds
|
