|
Search: id:A127967
|
|
|
| A127967 |
|
A right-skewed Pascal triangle, with interspersed 1's on main diagonal. |
|
+0
4
|
|
| 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 3, 0, 1, 1, 0, 4, 0, 3, 1, 1, 0, 5, 0, 6, 0, 1, 1, 0, 6, 0, 10, 0, 4, 1, 1, 0, 7, 0, 15, 0, 10, 0, 1, 1, 0, 8, 0, 21, 0, 20, 0, 5, 1, 1, 0, 9, 0, 28
(list; table; graph; listen)
|
|
|
OFFSET
|
0,9
|
|
|
COMMENT
|
Linked to Fibonacci numbers by row sums A127968. Inverse A127969 is linked to Genocchi numbers by its first column.
|
|
FORMULA
|
Column k is generated by x^(-2)*(x*(1-x)^(-1/2))^(k+2), where non-integer values are set to 0; or, column k has g.f. if(mod(k,2)=0,x^k/(1-x)^(1+k/2),x^k)
|
|
EXAMPLE
|
Triangle begins
1,
1, 1,
1, 0, 1,
1, 0, 2, 1,
1, 0, 3, 0, 1,
1, 0, 4, 0, 3, 1,
1, 0, 5, 0, 6, 0, 1,
1, 0, 6, 0, 10, 0, 4, 1,
1, 0, 7, 0, 15, 0, 10, 0, 1,
1, 0, 8, 0, 21, 0, 20, 0, 5, 1,
1, 0, 9, 0, 28, 0, 35, 0, 15, 0, 1,
1, 0, 10, 0, 36, 0, 56, 0, 35, 0, 6, 1,
1, 0, 11, 0, 45, 0, 84, 0, 70, 0, 21, 0, 1
|
|
CROSSREFS
|
Sequence in context: A065715 A051628 A163540 this_sequence A147602 A114206 A073202
Adjacent sequences: A127964 A127965 A127966 this_sequence A127968 A127969 A127970
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 09 2007
|
|
|
Search completed in 0.002 seconds
|
