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Search: id:A133138
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| A133138 |
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Triangle T(n,k) of the coefficients of the polynomials Q(n,x)=(1+x)[(1+x)^(n-1)+x^(n-1)], Q(0,x)=2, in front of x^k. |
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2
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| 2, 2, 2, 1, 3, 2, 1, 3, 4, 2, 1, 4, 6, 5, 2, 1, 5, 10, 10, 6, 2, 1, 6, 15, 20, 15, 7, 2, 1, 7, 21, 35, 35, 21, 8, 2, 1, 8, 28, 56, 70, 56, 28, 9, 2, 1, 9, 36, 84, 126, 126, 84, 36, 10, 2, 1, 10, 45, 120, 210, 252, 210, 120, 45, 11, 2
(list; table; graph; listen)
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OFFSET
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0,1
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FORMULA
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T(n,k)=A007318(n,k), 0<=k<n-1. T(n,k)=A007318(n,k)+1, n-1<=k<=n. Sum(k=0..n) T(n,k) = A133140(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 12 2008
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CROSSREFS
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Cf. A133135.
Sequence in context: A078314 A068322 A078687 this_sequence A037180 A091222 A064659
Adjacent sequences: A133135 A133136 A133137 this_sequence A133139 A133140 A133141
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Sep 21 2007
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 12 2008
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