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Search: id:A124931
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| A124931 |
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Triangle read by rows: T(n,k)=(2k-1)*binom(n,k) (1<=k<=n). |
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+0
1
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| 1, 2, 3, 3, 9, 5, 4, 18, 20, 7, 5, 30, 50, 35, 9, 6, 45, 100, 105, 54, 11, 7, 63, 175, 245, 189, 77, 13, 8, 84, 280, 490, 504, 308, 104, 15, 9, 108, 420, 882, 1134, 924, 468, 135, 17, 10, 135, 600, 1470, 2268, 2310, 1560, 675, 170, 19, 11, 165, 825, 2310, 4158, 5082, 4290
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Sum of entries in row n = 1+(n-1)*2^n = A000337(n).
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EXAMPLE
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First few rows of the triangle are:
1;
2, 3;
3, 9, 5;
4, 18, 20, 7;
5, 30, 50, 35, 9;
6, 45, 100, 105, 54, 11;
...
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MAPLE
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T:=(n, k)->(2*k-1)*binomial(n, k): for n from 1 to 12 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form
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CROSSREFS
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Cf. A000337.
Sequence in context: A108692 A157126 A059083 this_sequence A124932 A110042 A123027
Adjacent sequences: A124928 A124929 A124930 this_sequence A124932 A124933 A124934
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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 12 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 29 2006
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