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A119492
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Composites n not dividing binomial(n,k) for any k to which n is not prime.
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0
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4, 6, 8, 9, 14, 15, 16, 25, 27, 32, 49, 51, 62, 64, 81, 91, 95, 121, 125, 128, 159, 169, 243, 245, 254, 256, 287, 289, 343, 361, 473, 512, 529, 625, 679, 703, 729, 841, 961, 1022, 1024, 1139, 1199, 1331, 1339, 1369, 1681, 1717, 1849, 1891, 2048, 2051
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..52.
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EXAMPLE
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8 shares factors with 2,4 and 6. bin(8,2)=bin(8,6)=28 and bin(8,4)=70. 8 divides neither 28 nor 70 and is therefore on the list.
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MATHEMATICA
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For[a = 1, a < 1001, a++; c = 0; If[PrimeQ[a] == True, Continue[]]; For[b = 1, b < a + 1, b++, If[And[GCD[b, a] != 1, Mod[Binomial[a, b], a] == 0], c = c + 1]]; If[c == 0, Print[a]]]
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CROSSREFS
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Sequence in context: A161760 A213308 A067127 * A118951 A163282 A095404
Adjacent sequences: A119489 A119490 A119491 * A119493 A119494 A119495
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KEYWORD
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nonn
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AUTHOR
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Neil Fernandez, May 25 2006
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STATUS
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approved
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