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A155798
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Triangle read by rows: t(n,k)=Binomial[n, k] + Binomial[k*(n - k), n]
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0
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2, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 16, 16, 5, 1, 1, 6, 43, 104, 43, 6, 1, 1, 7, 141, 827, 827, 141, 7, 1, 1, 8, 523, 6491, 12940, 6491, 523, 8, 1, 1, 9, 2038, 48704, 168086, 168086, 48704, 2038, 9, 1, 1, 10, 8053, 352836, 1961466, 3269012, 1961466, 352836
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are: {2, 2, 4, 8, 17, 44, 204, 1952, 26986, 437676, 7913744,...}.
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EXAMPLE
| {2},
{1, 1},
{1, 2, 1},
{1, 3, 3, 1},
{1, 4, 7, 4, 1},
{1, 5, 16, 16, 5, 1},
{1, 6, 43, 104, 43, 6, 1},
{1, 7, 141, 827, 827, 141, 7, 1},
{1, 8, 523, 6491, 12940, 6491, 523, 8, 1},
{1, 9, 2038, 48704, 168086, 168086, 48704, 2038, 9, 1},
{1, 10, 8053, 352836, 1961466, 3269012, 1961466, 352836, 8053, 10, 1}
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MATHEMATICA
| Table[Table[Binomial[n, k] + Binomial[k*(n - k), n], {k, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Sequence in context: A196056 A161095 A118107 * A055652 A154844 A133831
Adjacent sequences: A155795 A155796 A155797 * A155799 A155800 A155801
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KEYWORD
| nonn,tabl
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 27 2009
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 31 2009
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