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Search: id:A099573
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| 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 4, 5, 1, 1, 5, 5, 8, 8, 1, 1, 6, 6, 12, 12, 13, 1, 1, 7, 7, 17, 17, 21, 21, 1, 1, 8, 8, 23, 23, 33, 33, 34, 1, 1, 9, 9, 30, 30, 50, 50, 55, 55, 1, 1, 10, 10, 38, 38, 73, 73, 88, 88, 89, 1, 1, 11, 11, 47, 47, 103, 103, 138, 138, 144, 144, 1, 1, 12, 12, 57
(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 A029907(n+1). Diagonal sums are A099574. Diagonal is A000045(n+1).
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FORMULA
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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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EXAMPLE
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Rows start {1}, {1,1}, {1,1,2}, {1,1,3,3}, {1,1,4,4,5},..
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CROSSREFS
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Cf. A099575.
Sequence in context: A116188 A049695 A096589 this_sequence A107430 A132892 A077028
Adjacent sequences: A099570 A099571 A099572 this_sequence A099574 A099575 A099576
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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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