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Search: id:A144451
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| A144451 |
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Recursive triangle sequence: A(n, k) = A(n - 2, k - 1) - 2*A(n, k - 1) + 1. |
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+0
1
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| 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, -3, 8, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, -4, 17, -32, 1
(list; graph; listen)
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OFFSET
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1,9
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COMMENT
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Row sums are:{1, 2, 2, 4, 3, 4, 4, 10, 5, -14}.
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FORMULA
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A(n, k) = A(n - 2, k - 1) - 2*A(n, k - 1) + 1.
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EXAMPLE
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{1},
{1, 1},
{1, 0, 1},
{1, 0, 2, 1},
{1, 0, 1, 0, 1},
{1, 0, 1, 1, 0, 1},
{1, 0, 1, 0, 1, 0, 1},
{1, 0, 1, 0, 2, -3, 8, 1},
{1, 0, 1, 0, 1, 0, 1, 0, 1},
{1, 0, 1, 0, 1, 1, -4, 17, -32, 1}
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MATHEMATICA
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A[n_, 1] := 1; A[n_, n_] := 1; A[n_, k_] := A[n, k] = A[n - 2, k - 1] - 2*A[n, k - 1] + 1; a = Table[A[n, k], {n, 10}, {k, n}]; Flatten[a]
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CROSSREFS
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Sequence in context: A016319 A117208 A133300 this_sequence A090464 A044934 A124761
Adjacent sequences: A144448 A144449 A144450 this_sequence A144452 A144453 A144454
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KEYWORD
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uned,sign
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 06 2008
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