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Search: id:A067348
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| A067348 |
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Central binomial coefficient C(n,n/2) is divisible by n. |
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+0
8
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| 2, 12, 30, 56, 84, 90, 132, 154, 182, 220, 252, 280, 306, 312, 340, 374, 380, 408, 418, 420, 440, 456, 462, 476, 532, 552, 598, 616, 624, 630, 644, 650, 660, 690, 756, 828, 840, 858, 870, 880, 884, 900, 918, 920, 936, 952, 966, 986, 992, 1020, 1054, 1102
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This sequence has a surprisingly large overlap with A080385(n); a few values, 2, 420, 920 are exceptional. This means that usually A080383(A067348[n])=7. - Labos E. (labos(AT)ana.sote.hu), Mar 17 2003
Conjecture: sequence contains most of 2*A000384(k). Exceptions are k=8,18,20,23,35,... - R. Stephan, Mar 15 2004
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FORMULA
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Appears to be 2*A058008(n). - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 21 2003
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MATHEMATICA
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Select[Range[2, 1200, 2], Mod[Binomial[ #, #/2], # ]==0&]
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CROSSREFS
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Cf. A000984, A042996, A067315, A080385.
2*A002503(n-2) + 2.
Sequence in context: A119201 A034318 A061780 this_sequence A002939 A118239 A127118
Adjacent sequences: A067345 A067346 A067347 this_sequence A067349 A067350 A067351
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KEYWORD
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nonn
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AUTHOR
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Dean Hickerson (dean(AT)math.ucdavis.edu), Jan 16 2002
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