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Search: id:A156047
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| A156047 |
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Triangle read by rows: t(n,m)=n!*(1/m+1/(n-m)). |
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+0
1
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| 4, 9, 9, 32, 24, 32, 150, 100, 100, 150, 864, 540, 480, 540, 864, 5880, 3528, 2940, 2940, 3528, 5880, 46080, 26880, 21504, 20160, 21504, 26880, 46080, 408240, 233280, 181440, 163296, 163296, 181440, 233280, 408240, 4032000, 2268000, 1728000
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Row sums are:
{4, 18, 88, 500, 3288, 24696, 209088, 1972512, 20531520,...}.
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FORMULA
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t(n,m)=n!*(1/m+1/(n-m)).
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EXAMPLE
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{4},
{9, 9},
{32, 24, 32},
{150, 100, 100, 150},
{864, 540, 480, 540, 864},
{5880, 3528, 2940, 2940, 3528, 5880},
{46080, 26880, 21504, 20160, 21504, 26880, 46080},
{408240, 233280, 181440, 163296, 163296, 181440, 233280, 408240},
{4032000, 2268000, 1728000, 1512000, 1451520, 1512000, 1728000, 2268000, 4032000}
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MATHEMATICA
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Clear[f];
f[n_, m_] = n!*(1/m + 1/(n - m));
Table[Table[f[n, m], {m, 1, n - 1}], {n, 2, 10}];
Flatten[%]
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CROSSREFS
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Sequence in context: A141801 A081949 A091657 this_sequence A088037 A071768 A161913
Adjacent sequences: A156044 A156045 A156046 this_sequence A156048 A156049 A156050
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 02 2009
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