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Search: id:A118114
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| A118114 |
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a(n)=binomial(3n,n) mod((n+1)(n+2)). |
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+0
2
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| 3, 3, 4, 15, 21, 28, 0, 81, 55, 99, 0, 0, 84, 120, 0, 153, 171, 285, 0, 231, 253, 0, 360, 0, 0, 0, 0, 522, 0, 496, 0, 561, 833, 945, 0, 703, 741, 156, 0, 861, 903, 1419, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2016, 1664, 2145, 2211, 3417, 0, 2415, 2485, 2556, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Compared with A118112: larger nonzero value more often and in non-monotonic order.
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EXAMPLE
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n=5, C(15,5)=3003=(5+1).(5+2).71 + 21, a(5)=21, the residue.
Interestingly a very large zone of zeros occur between about n=5460 and n=7800 non-interrupted by nonzero residues.
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MAPLE
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seq(binomial(3*n, n) mod((n+1)*(n+2)), n=1..71); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 15 2006
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MATHEMATICA
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Table[Mod[Binomial[3*k, k], (k + 1)*(k + 2)], {k, 1, 1000}]
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CROSSREFS
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Cf. A118112, A000108, A118113.
Sequence in context: A115284 A033707 A049925 this_sequence A076183 A011445 A133456
Adjacent sequences: A118111 A118112 A118113 this_sequence A118115 A118116 A118117
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana1.sote.hu), Apr 13 2006
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