|
Search: id:A062160
|
|
|
| A062160 |
|
Table read by antidiagonals: T(n,k)=(n^k-(-1)^k)/(n+1). |
|
+0
4
|
|
| 0, 1, 0, -1, 1, 0, 1, 0, 1, 0, -1, 1, 1, 1, 0, 1, 0, 3, 2, 1, 0, -1, 1, 5, 7, 3, 1, 0, 1, 0, 11, 20, 13, 4, 1, 0, -1, 1, 21, 61, 51, 21, 5, 1, 0, 1, 0, 43, 182, 205, 104, 31, 6, 1, 0, -1, 1, 85, 547, 819, 521, 185, 43, 7, 1, 0, 1, 0, 171, 1640, 3277, 2604, 1111, 300, 57, 8, 1, 0, -1, 1, 341, 4921, 13107, 13021, 6665, 2101, 455, 73, 9, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,18
|
|
|
FORMULA
|
T(n, k) = n^(k-1)-n^(k-2)+n^(k-3)-...1 = n^(k-1)-T(n, k-1) = nT(n, k-1)-(-1)^n = (n-1)T(n, k-1)+nT(n, k-2) = round[n^k/(n+1)] for n>1.
|
|
CROSSREFS
|
Rows include A062157, A000035, A001045, A015518, A015521, A015531, A015540, A015552, A015565, A015577, A015585, A015592 etc. Columns include A000004, A000012, A023443, A002061, A062158, A060884, A062159, A060888 etc. Related to repunits in negative bases (cf. A055129 for positive bases).
Sequence in context: A021761 A071960 A056898 this_sequence A022959 A023445 A068494
Adjacent sequences: A062157 A062158 A062159 this_sequence A062161 A062162 A062163
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Jun 08 2001
|
|
|
Search completed in 0.002 seconds
|
