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Search: id:A091042
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| A091042 |
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Triangle of even numbered entries of odd numbered rows of Pascal's triangle A007318. |
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+0
7
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| 1, 1, 3, 1, 10, 5, 1, 21, 35, 7, 1, 36, 126, 84, 9, 1, 55, 330, 462, 165, 11, 1, 78, 715, 1716, 1287, 286, 13, 1, 105, 1365, 5005, 6435, 3003, 455, 15, 1, 136, 2380, 12376, 24310, 19448, 6188, 680, 17, 1, 171, 3876, 27132, 75582, 92378, 50388, 11628, 969, 19, 1
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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The row polynomials Pe(n,x) := sum(a(n,m)*x^m,m=0..n) appear as numerators of the generating functions for the even numbered column sequences of array A034870.
Elements have the same parity as those of Pascal's triangle.
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LINKS
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W. Lang, First 9 rows.
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FORMULA
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a(n, m) = binomial(2*n+1, 2*m)=A007318(2*n+1, 2*m), n>=m>=0, else 0.
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CROSSREFS
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Sequence in context: A126954 A107870 A078817 this_sequence A111418 A113187 A057967
Adjacent sequences: A091039 A091040 A091041 this_sequence A091043 A091044 A091045
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 23 2004
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