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Search: id:A156308
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| 1, 4, 1, 9, 6, 1, 16, 20, 8, 1, 25, 50, 35, 10, 1, 36, 105, 112, 54, 12, 1, 49, 196, 294, 210, 77, 14, 1, 64, 336, 672, 660, 352, 104, 16, 1, 81, 540, 1386, 1782, 1287, 546, 135, 18, 1, 100, 825, 2640, 4290, 4004, 2275, 800, 170, 20, 1
(list; table; graph; listen)
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OFFSET
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1,2
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FORMULA
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S(n,m)=n/m Binomial(n + m - 1, 2 m - 1)
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EXAMPLE
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S(3,1)=9, S(3,3)=1, S(5,3)=35
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MATHEMATICA
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S[m_] := Flatten[Table[k/j Binomial[k + j - 1, 2 j - 1], {k, 1, m}, {j, 1, k}]]
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CROSSREFS
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Column 1 of triangle is A000290
Column 2 of triangle is A002415
Column 3 of triangle is A040977
Column 4 of triangle is A053347
Column 5 of triangle is A054334
Sequence in context: A125165 A065489 A051672 this_sequence A092162 A073056 A049762
Adjacent sequences: A156305 A156306 A156307 this_sequence A156309 A156310 A156311
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Hartmut F. W. Hoeft (hhoft(AT)emich.edu), Feb 07 2009
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