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Search: id:A109447
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| A109447 |
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Binomial coefficients C(n,k) with n-k odd, read by rows. |
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+0
2
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| 1, 2, 1, 3, 4, 4, 1, 10, 5, 6, 20, 6, 1, 21, 35, 7, 8, 56, 56, 8, 1, 36, 126, 84, 9, 10, 120, 252, 120, 10, 1, 55, 330, 462, 165, 11, 12, 220, 792, 792, 220, 12, 1, 78, 715, 1716, 1287, 286, 13, 14, 364, 2002, 3432, 2002, 364, 14, 1, 105, 1365, 5005, 6435, 3003, 455, 15
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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Starred terms in Pascal's triangle (A007318), read by rows:
1;
1*, 1;
1, 2*, 1;
1*, 3, 3*, 1;
1, 4*, 6, 4*, 1;
1*, 5, 10*, 10, 5*, 1;
1, 6*, 15, 20*, 15, 6*, 1;
1*, 7, 21*, 35, 35*, 21, 7*, 1;
1, 8*, 28, 56*, 70, 56*, 28, 8*, 1;
1*, 9, 36*, 84, 126*, 126, 84*, 36, 9*, 1;
1; 2; 1, 3; 4, 4; 1, 10, 5; 6, 20, 6; 1, 21, 35, 7; 8, 56, 56, 8; ....
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MATHEMATICA
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Flatten[ Table[ If[ OddQ[n - k], Binomial[n, k], {}], {n, 0, 15}, {k, 0, n}]] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A109446.
Sequence in context: A128270 A151550 A097003 this_sequence A088261 A033779 A033799
Adjacent sequences: A109444 A109445 A109446 this_sequence A109448 A109449 A109450
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KEYWORD
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easy,nonn,tabf
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 27 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Aug 30 2005
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