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Search: id:A130454
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| A130454 |
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Triangle, read by rows of (n+1)(n+2)/2 terms, where row n+1 is generated by taking partial sums of row n and then appending n+1 zeros followed by the final term in the partial sums of row n for n>=0. |
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+0
2
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| 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 4, 4, 4, 6, 0, 0, 0, 6, 1, 3, 7, 11, 15, 21, 21, 21, 21, 27, 0, 0, 0, 0, 27, 1, 4, 11, 22, 37, 58, 79, 100, 121, 148, 148, 148, 148, 148, 175, 0, 0, 0, 0, 0, 175, 1, 5, 16, 38, 75, 133, 212, 312, 433, 581, 729, 877, 1025, 1173, 1348, 1348, 1348
(list; table; graph; listen)
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OFFSET
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0,7
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EXAMPLE
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Triangle begins:
1;
1, 0, 1;
1, 1, 2, 0,0, 2;
1, 2, 4, 4, 4, 6, 0,0,0, 6;
1, 3, 7,11,15,21,21, 21, 21, 27, 0,0,0,0, 27;
1, 4,11,22,37,58,79,100,121,148,148,148,148,148,175, 0,0,0,0,0, 175; ...
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PROGRAM
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(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, vector(j)), B[ #B])); A[k+1])}
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CROSSREFS
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Cf. A130455 (final term in rows).
Adjacent sequences: A130451 A130452 A130453 this_sequence A130455 A130456 A130457
Sequence in context: A100286 A029303 A130457 this_sequence A070787 A033985 A122071
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), May 26 2007
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