|
Search: id:A147703
|
|
|
| A147703 |
|
Triangle [1,1,1,0,0,0,...] DELTA [1,0,0,0,.....] with Deleham DELTA defined in A084938. |
|
+0
25
|
|
| 1, 1, 1, 2, 3, 1, 5, 9, 5, 1, 13, 27, 20, 7, 1, 34, 80, 73, 35, 9, 1, 89, 234, 252, 151, 54, 11, 1, 233, 677, 837, 597, 269, 77, 13, 1, 610, 1941, 2702, 2225, 1199, 435, 104, 15, 1, 1597, 5523, 8533, 7943, 4956, 2158, 657, 135, 17, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
Row sums are A006012. Diagonal sums are A147704. Equal to A062110*A007318 when A062110 is regarded as a triangle read by rows.
|
|
FORMULA
|
Riordan array ((1-2x)/(1-3x+x^2), x(1-x)/(1-3x+x^2)).
Sum_{k, 0<=k<=n}T(n,k)*x^k = A152239(n), A152223(n), A152185(n), A152174(n), A152167(n), A152166(n), A152163(n), A000007(n), A001519(n), A006012(n), A081704(n), A082761(n), A147837(n), A147838(n), A147839(n), A147840(n), A147841(n), for x = -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8 respectively . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 01 2008]
|
|
EXAMPLE
|
Triangle begins
1,
1, 1,
2, 3, 1,
5, 9, 5, 1,
13, 27, 20, 7, 1,
34, 80, 73, 35, 9, 1,
89, 234, 252, 151, 54, 11, 1
|
|
CROSSREFS
|
Sequence in context: A065883 A071975 A055905 this_sequence A147747 A039599 A154380
Adjacent sequences: A147700 A147701 A147702 this_sequence A147704 A147705 A147706
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Nov 10 2008
|
|
|
Search completed in 0.003 seconds
|
