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Search: id:A104712
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| A104712 |
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Pascal's triangle, with the first two columns removed. |
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+0
4
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| 1, 3, 1, 6, 4, 1, 10, 10, 5, 1, 15, 20, 15, 6, 1, 21, 35, 35, 21, 7, 1, 28, 56, 70, 56, 28, 8, 1, 36, 84, 126, 126, 84, 36, 9, 1, 45, 120, 210, 252, 210, 120, 45, 10, 1, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 78, 286, 715
(list; table; graph; listen)
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OFFSET
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2,2
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COMMENT
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A000295 (Eulerian numbers) gives the row sums.
Write A004736 and Pascal's triangle as infinite lower triangular matrices A and B; then A*B is this triangle.
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FORMULA
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a(n, k) = binomial(n, k), for 2 <= k <= n.
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EXAMPLE
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Triangle begins
1
3 1
6 4 1
10 10 5 1
15 20 15 6 1
...
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CROSSREFS
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Cf. A000295, A007318, A008292, A104713.
Sequence in context: A120029 A133110 A086270 this_sequence A122177 A108286 A131415
Adjacent sequences: A104709 A104710 A104711 this_sequence A104713 A104714 A104715
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KEYWORD
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nonn,tabl,easy,less
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 19 2005
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EXTENSIONS
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Edited and extended by David Wasserman (dwasserm(AT)earthlink.net), Jul 03 2007
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