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Search: id:A099575
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| A099575 |
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Number triangle T(n,k)=if(k<=n,sum{j=0..floor(k/2),binomial(n+j,j)},0). |
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5
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| 1, 1, 1, 1, 1, 4, 1, 1, 5, 5, 1, 1, 6, 6, 21, 1, 1, 7, 7, 28, 28, 1, 1, 8, 8, 36, 36, 120, 1, 1, 9, 9, 45, 45, 165, 165, 1, 1, 10, 10, 55, 55, 220, 220, 715, 1, 1, 11, 11, 66, 66, 286, 286, 1001, 1001, 1, 1, 12, 12, 78, 78, 364, 364, 1365, 1365, 4368, 1, 1, 13, 13, 91, 91, 455, 455
(list; table; graph; listen)
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OFFSET
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0,6
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COMMENT
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Row sums are A099576. Diagonal sums are A099577. Main diagonal is A099578.
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EXAMPLE
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Rows start {1}, {1,1}, {1,1,4}, {1,1,5,5}, {1,1,6,6,21},...
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CROSSREFS
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Cf. A099573.
Adjacent sequences: A099572 A099573 A099574 this_sequence A099576 A099577 A099578
Sequence in context: A035589 A021247 A016522 this_sequence A028275 A136489 A131239
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 23 2004
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