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Search: id:A054106
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| A054106 |
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Alternating sums of vertically aligned numbers in Pascal's triangle: T(n,k) = C(n,k) - C(n-2,k-1) + C(n-4,k-2) - ... +- C(n-2[n/2],m). |
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+0
5
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| 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 3, 1, 1, 4, 8, 8, 4, 1, 1, 5, 12, 15, 12, 5, 1, 1, 6, 17, 27, 27, 17, 6, 1, 1, 7, 23, 44, 55, 44, 23, 7, 1, 1, 8, 30, 67, 99, 99, 67, 30, 8, 1, 1, 9, 38, 97, 166, 197, 166, 97, 38, 9, 1, 1, 10, 47, 135, 263, 363, 363
(list; table; graph; listen)
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OFFSET
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0,8
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FORMULA
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G.f.: 1/(1-(1+y)*x)/(1+y*x^2). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 12 2003
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EXAMPLE
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Rows: {1}; {1,1}; {1,1,1}; {1,2,2,1}; {1,3,5,3,1} ...
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CROSSREFS
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For (nonalternating) vertically aligned sums, see A013580.
Row sums of this array: A007910.
Sequence in context: A034928 A161671 A144444 this_sequence A132044 A034327 A034254
Adjacent sequences: A054103 A054104 A054105 this_sequence A054107 A054108 A054109
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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