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Search: id:A123736
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| A123736 |
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Triangular sequence from the Steenrod-Adem relations: t(i,j)=Sum[binomial[j - k - 1, i - 2*k], {k, 0, i}]. |
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+0
3
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| 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 3, 4, 3, 2, 1, 1, 0, 1, 4, 7, 7, 5, 3, 2, 1, 1, 0, 1, 5, 11, 14, 12, 8, 5, 3, 2, 1, 1, 0, 1, 6, 16, 25, 26, 20, 13, 8, 5, 3, 2, 1, 1, 0, 1, 7, 22, 41, 51, 46, 33, 21, 13, 8, 5, 3, 2, 1, 1, 0, 1, 8, 29, 63, 92, 97, 79, 54, 34, 21, 13, 8, 5, 3, 2, 1, 1, 0, 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 sum is: A000225
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LINKS
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Eric Weisstein's World of Mathematics, Steenrod Algebra
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FORMULA
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t(i,j)=Sum[binomial[j - k - 1, i - 2*k], {k, 0, i}]
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EXAMPLE
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Triangular sequence:
{0},
{1, 0},
{1, 1, 1, 0},
{1, 2, 2, 1, 1, 0},
{1, 3, 4, 3, 2, 1, 1, 0},
{1, 4, 7, 7, 5, 3, 2, 1, 1, 0},
{1, 5, 11, 14, 12, 8, 5, 3, 2, 1, 1, 0},
{1, 6, 16, 25, 26, 20, 13, 8, 5, 3, 2, 1, 1, 0},
{1, 7, 22, 41, 51, 46, 33, 21, 13, 8, 5, 3, 2, 1, 1, 0},
{1, 8, 29, 63, 92, 97, 79, 54, 34, 21, 13, 8, 5, 3, 2, 1, 1, 0},
{1, 9, 37, 92, 155, 189, 176, 133, 88, 55, 34, 21, 13, 8, 5, 3, 2, 1, 1, 0}
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MATHEMATICA
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a = Table[Table[Sum[Binomial[j - k - 1, i - 2*k], {k, 0, i}], {i, 0, 2*j - 1}], {j, 0, 10}]; Join[{{0}}, a]; Flatten[a]
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CROSSREFS
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Sequence in context: A039978 A099918 A099860 this_sequence A081389 A133685 A112183
Adjacent sequences: A123733 A123734 A123735 this_sequence A123737 A123738 A123739
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Nov 14 2006
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