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Search: id:A081418
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| A081418 |
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A000720 applied to Pascal-triangle as follows: C(Pi[n],Pi[j])], j,0..n and n=0,1,2,... |
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+0
1
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| 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 4, 6, 6, 4, 4, 1, 1, 1, 4, 6, 6, 4, 4, 1, 1, 1, 1, 4, 6, 6, 4, 4, 1, 1, 1, 1, 1, 4, 6, 6, 4, 4, 1, 1, 1, 1, 1, 1, 5, 10, 10, 10, 10, 5, 5, 5, 5, 1, 1, 1, 5, 10, 10, 10, 10, 5, 5, 5, 5, 1, 1, 1, 1, 6, 15, 15, 20, 20, 15
(list; table; graph; listen)
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OFFSET
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0,9
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EXAMPLE
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Triangle begins:
1,
1,1,
1,1,1,
1,1,2,1,
1,1,2,1,1,
1,1,3,3,3,1,
1,1,3,3,3,1,1,
1,1,4,6,6,4,4,1,
1,1,4,6,6,4,4,1,1,
1,1,4,6,6,4,4,1,1,1,
1,1,4,6,6,4,4,1,1,1,1,
1,1,5,10,10,10,10,5,5,5,5,1,
1,1,5,10,10,10,10,5,5,5,5,1,1,
1,1,6,15,15,20,20,15,15,15,15,6,6,1,
1,1,6,15,15,20,20,15,15,15,15,6,6,1,1,
1,1,6,15,15,20,20,15,15,15,15,6,6,1,1,1
Rows are usually asymmetric; 25th row:
{1,1,9,36,36,84,84,126,126,126,126,126,126,84,84,84,84,36,36,9,9,9,9,1,1,1}
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MATHEMATICA
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Flatten[Table[Table[Binomial[PrimePi[n], Prime[j]],
{j, 0, n}], {n, 0, 15}], 1]
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CROSSREFS
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Cf. A000720, A081417.
Sequence in context: A101873 A146289 A079211 this_sequence A088951 A107453 A164115
Adjacent sequences: A081415 A081416 A081417 this_sequence A081419 A081420 A081421
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KEYWORD
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nonn,tabl
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 02 2003
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