|
Search: id:A060959
|
|
|
| A060959 |
|
Table by antidiagonals of generalized Fibonacci numbers: T(n,k)=T(n,k-1)+n*T(n,k-2) with T(n,0)=0 and T(n,1)=1. |
|
+0
3
|
|
| 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 3, 3, 1, 1, 0, 1, 5, 5, 4, 1, 1, 0, 1, 8, 11, 7, 5, 1, 1, 0, 1, 13, 21, 19, 9, 6, 1, 1, 0, 1, 21, 43, 40, 29, 11, 7, 1, 1, 0, 1, 34, 85, 97, 65, 41, 13, 8, 1, 1, 0, 1, 55, 171, 217, 181, 96, 55, 15, 9, 1, 1, 0, 1, 89, 341, 508, 441, 301, 133, 71
(list; table; graph; listen)
|
|
|
OFFSET
|
0,12
|
|
|
FORMULA
|
T(n, k) =(((1+sqrt(4n+1))/2)^k-((1-sqrt(4n+1))/2)^k)/sqrt(4n+1) =sum_j[A030528(j, k)*n^j ]
|
|
EXAMPLE
|
Rows start (0,1,1,1,1,1,1), (0,1,1,2,3,5,8,...), (0,1,1,3,5,11,21,...), (0,1,1,4,7,19,40,...), etc.
|
|
CROSSREFS
|
Rows include A057427, A000045, A001045, A006130, A006131, A015440, A015441, A015442, A015443, A015445, A015446, A015447, A053404. Columns include A000004, A000012 twice, A000027, A005408, A028387, A000567.
Sequence in context: A092921 A029387 A070878 this_sequence A077042 A144903 A108934
Adjacent sequences: A060956 A060957 A060958 this_sequence A060960 A060961 A060962
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), May 10 2001
|
|
|
Search completed in 0.002 seconds
|
