|
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: A110962 A065715 A051628 this_sequence A114206 A073202 A055212
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
|
