|
Search: id:A059848
|
|
|
| A059848 |
|
As a square table by antidiagonals, the n-digit number which in base k starts 1010101... |
|
+0
4
|
|
| 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 3, 5, 2, 1, 0, 1, 4, 10, 10, 3, 0, 0, 1, 5, 17, 30, 21, 3, 1, 0, 1, 6, 26, 68, 91, 42, 4, 0, 0, 1, 7, 37, 130, 273, 273, 85, 4, 1, 0, 1, 8, 50, 222, 651, 1092, 820, 170, 5, 0, 0, 1, 9, 65, 350, 1333, 3255, 4369, 2460, 341, 5, 1, 0, 1, 10
(list; table; graph; listen)
|
|
|
OFFSET
|
0,13
|
|
|
FORMULA
|
T(n, k)=floor[k^(n+1)/(k^2-1)] =T(n-2, k)+k^(n-1) =k*T(n-1, k)-((-1)^n-1)/2
|
|
EXAMPLE
|
T(5,3)=10101 base 3=81+9+1=91; T(4,6)=1010 base 6=216+6=222. Table starts {0,0,0,0,...}, {1,1,1,1,...}, {0,1,2,3,...}, {1,2,5,10,...}, ...
|
|
CROSSREFS
|
Rows include A000004, A000012, A001477, A002522, A034262, A059826, A059830, A059839. Columns include A000035, A008619, A000975, A033113, A033114, A033115, A033116, A033117, A033118, A033119, A056830.
Sequence in context: A035379 A096587 A136438 this_sequence A036865 A125226 A059080
Adjacent sequences: A059845 A059846 A059847 this_sequence A059849 A059850 A059851
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Feb 26 2001
|
|
|
Search completed in 0.002 seconds
|
