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Search: id:A125231
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| A125231 |
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Triangle read by rows: T(n,k)=ceil((k+1)/2)*binom(n,k) (0<=k<=n). |
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+0
2
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| 1, 1, 1, 1, 2, 2, 1, 3, 6, 2, 1, 4, 12, 8, 3, 1, 5, 20, 20, 15, 3, 1, 6, 30, 40, 45, 18, 4, 1, 7, 42, 70, 105, 63, 28, 4, 1, 8, 56, 112, 210, 168, 112, 32, 5, 1, 9, 72, 168, 378, 378, 336, 144, 45, 5, 1, 10, 90, 240, 630, 756, 840, 480, 225, 50, 6, 1, 11, 110, 330, 990, 1386, 1848
(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 = A045623: (1, 2, 5, 12, 28, 64, 144, 320...) A125230 is another triangle with row sums = A045623.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
1, 2, 2;
1, 3, 6, 2;
1, 4, 12, 8, 3;
1, 5, 20, 20, 15, 3;
1, 6, 30, 40, 45, 18, 4;
1, 7, 42, 70, 105, 63, 28, 4;
...
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MAPLE
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T:=(n, k)->ceil((k+1)/2)*binomial(n, k): for n from 0 to 12 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
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CROSSREFS
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Cf. A045623, A125230.
Sequence in context: A095788 A071944 A080955 this_sequence A117919 A068956 A124842
Adjacent sequences: A125228 A125229 A125230 this_sequence A125232 A125233 A125234
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 24 2006
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EXTENSIONS
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Edited by njas, Dec 02 2006
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