|
Search: id:A130457
|
|
|
| A130457 |
|
Triangle, read by rows of 3n+1 terms, where row n+1 is generated by taking partial sums of row n and then appending 2 zeros followed by the final term in the partial sums of row n, for n>=0, with T(0,0)=1. |
|
+0
2
|
|
| 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 3, 5, 5, 5, 7, 0, 0, 7, 1, 3, 6, 11, 16, 21, 28, 28, 28, 35, 0, 0, 35, 1, 4, 10, 21, 37, 58, 86, 114, 142, 177, 177, 177, 212, 0, 0, 212, 1, 5, 15, 36, 73, 131, 217, 331, 473, 650, 827, 1004, 1216, 1216, 1216, 1428, 0, 0, 1428, 1, 6, 21, 57
(list; table; graph; listen)
|
|
|
OFFSET
|
0,9
|
|
|
EXAMPLE
|
Triangle begins:
1;
1, 0, 0, 1;
1, 1, 1, 2, 0, 0, 2;
1, 2, 3, 5, 5, 5, 7, 0, 0, 7;
1, 3, 6, 11, 16, 21, 28, 28, 28, 35, 0, 0, 35;
1, 4, 10, 21, 37, 58, 86, 114, 142, 177, 177, 177, 212, 0, 0, 212;
1, 5, 15, 36, 73, 131, 217, 331, 473, 650, 827, 1004, 1216, 1216, 1216, 1428, 0, 0, 1428; ...
|
|
PROGRAM
|
(PARI) {T(n, k)=local(A=[1], B); if(n==0, if(k==0, 1, 0), for(j=1, n, B=Vec(Ser(A)/(1-x)); A=concat(concat(B, [0, 0]), B[ #B])); A[k+1])}
|
|
CROSSREFS
|
Cf. A130458 (final term in rows); A130456 (variant).
Adjacent sequences: A130454 A130455 A130456 this_sequence A130458 A130459 A130460
Sequence in context: A081827 A100286 A029303 this_sequence A130454 A070787 A033985
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), May 26 2007
|
|
|
Search completed in 0.002 seconds
|
