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Search: id:A132046
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| 1, 1, 1, 1, 4, 1, 1, 6, 6, 1, 1, 8, 12, 8, 1, 1, 10, 20, 20, 10, 1, 1, 12, 30, 40, 30, 12, 1, 1, 14, 42, 70, 70, 42, 14, 1, 1, 16, 56, 112, 140, 112, 56, 16, 1, 1, 18, 72, 168, 252, 252, 168, 72, 18, 1
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums = A132046: (1, 2, 6, 14, 30, 62, 126,...).
T(2n,n) is A100320 (with Hankel transform A144704). [From Paul Barry (pbarry(AT)wit.ie), Sep 19 2008]
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FORMULA
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2*A007318 - A103451 as infinite lower triangular matrices.
T(n,k)=[k<=n](0^(n+k)+C(n,k)(2-0^(n-k)-0^k)); [From Paul Barry (pbarry(AT)wit.ie), Sep 19 2008]
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
1, 4, 1;
1, 6, 6, 1;
1, 8, 12, 8, 1;
1, 10, 20, 10, 10, 1;
1, 12, 30, 40, 30, 12, 1;
1, 14, 42, 70, 70, 42, 14, 1;
...
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CROSSREFS
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Cf. A007318, A103451, A132046.
Adjacent sequences: A132043 A132044 A132045 this_sequence A132047 A132048 A132049
Sequence in context: A084061 A140262 A049702 this_sequence A141540 A102413 A131399
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KEYWORD
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nonn,tabl,new
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 08 2007
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