|
Search: id:A156864
|
|
|
| A156864 |
|
Triangle read by rows: t(n,k)=2^k - Binomial[n, k + 1] - ((2*k + 1 - n)/(k + 1))*Binomial[n, k]. |
|
+0
1
|
|
| 0, -1, 1, -2, -2, 4, -3, -6, -2, 11, -4, -11, -12, 1, 26, -5, -17, -27, -19, 11, 57, -6, -24, -48, -54, -24, 36, 120, -7, -32, -76, -110, -94, -20, 92, 247, -8, -41, -112, -194, -220, -146, 8, 211, 502, -9, -51, -157, -314, -430, -398, -202, 91, 457, 1013, -10
(list; table; graph; listen)
|
|
|
OFFSET
|
2,4
|
|
|
COMMENT
|
Row sums are zero.
|
|
FORMULA
|
t(n,k)=2^k - Binomial[n, k + 1] - ((2*k + 1 - n)/(k + 1))*Binomial[n, k].
|
|
EXAMPLE
|
{0},
{-1, 1},
{-2, -2, 4},
{-3, -6, -2, 11},
{-4, -11, -12, 1, 26},
{-5, -17, -27, -19, 11, 57},
{-6, -24, -48, -54, -24, 36, 120},
{-7, -32, -76, -110, -94, -20, 92, 247},
{-8, -41, -112, -194, -220, -146, 8, 211, 502},
{-9, -51, -157, -314, -430, -398, -202, 91, 457, 1013},
{-10, -62, -212, -479, -760, -860, -664, -239, 292, 958, 2036}
|
|
MATHEMATICA
|
t[n_, k_] =2^k - Binomial[n, k + 1] - ((2*k + 1 - n)/(k + 1))*Binomial[n, k];
Table[Table[t[n, k], {k, 1, n-1}], {n, 2, 12}];
Flatten[%]
|
|
CROSSREFS
|
Sequence in context: A159268 A058723 A076435 this_sequence A059975 A087656 A122811
Adjacent sequences: A156861 A156862 A156863 this_sequence A156865 A156866 A156867
|
|
KEYWORD
|
sign,tabl,uned
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 17 2009
|
|
|
Search completed in 0.002 seconds
|
