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A139459
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Triangle read by rows: binomial(n,3m), 0 <= m <= floor(n/3).
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3
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1, 1, 1, 1, 20, 1, 1, 84, 84, 1, 1, 220, 924, 220, 1, 1, 455, 5005, 5005, 455, 1, 1, 816, 18564, 48620, 18564, 816, 1, 1, 1330, 54264, 293930, 293930, 54264, 1330, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| ConvOffsStoT transform of the dodecahedral numbers A006560 starting (1, 20, 84, 220,...)
Row sums = A007613(n-1): (1, 2, 22, 170, 1366, 10922, 87382,...).
In sequence of triangle sequence:Binomial(n,k*m),k=1,2,3,4,... Roger Bagula
(rlbagulatftn(at) yahoo.com) dec 12, 2010
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EXAMPLE
| First few rows of the triangle are:
1;
1, 1;
1, 20, 1;
1, 84, 84, 1;
1, 220, 924, 220, 1;
1, 455, 5005, 5005, 455, 1;
1, 816, 18564, 48620, 18564, 816, 1;
...
Row 5 = (1, 220, 924, 220, 1) = ConfOffs transform of (1, 20, 84, 220); where A006560 = (0, 1, 20, 84, 220, 455,...).
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MATHEMATICA
| t[n_, m_] = Binomial[n, 3*m];
Table[Table[t[n, m], {m, 0, Floor[n/3]}], {n, 0, 30, 3}];
Flatten[%]
Roger Bagula
(rlbagulatftn(at) yahoo.com) dec 12, 2010
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CROSSREFS
| Cf. A006560, A007613,A086645, A034839, A070775, A177808
Sequence in context: A040402 A040401 A040400 * A154652 A155516 A174674
Adjacent sequences: A139456 A139457 A139458 * A139460 A139461 A139462
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 22 2008
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EXTENSIONS
| New calculation method and relation to other sequence added. - Roger Bagula (rlbagulatftn(at) yahoo.com) dec 12, 2010
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