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A138987
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a(n) = Frobenius number for 7 successive numbers = F(n+1,n+2,n+3,n+4,n+5,n+6,n+7).
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16
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1, 2, 3, 4, 5, 6, 15, 17, 19, 21, 23, 25, 41, 44, 47, 50, 53, 56, 79, 83, 87, 91, 95, 99, 129, 134, 139, 144, 149, 154, 191, 197, 203, 209, 215, 221, 265, 272, 279, 286, 293, 300, 351, 359, 367, 375, 383, 391, 449, 458, 467, 476, 485, 494, 559, 569, 579, 589, 599
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| For Frobenius numbers for 2 successive numbers see A028387
For Frobenius numbers for 3 successive numbers see A079326
For Frobenius numbers for 4 successive numbers see A138984
For Frobenius numbers for 5 successive numbers see A138985
For Frobenius numbers for 6 successive numbers see A138986
For Frobenius numbers for 7 successive numbers see A138987
For Frobenius numbers for 8 successive numbers see A138988
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EXAMPLE
| a(7) = 15 because 15 is the biggest number k such that equation 8*x_1 + 9*x_2 + 10*x_3 + 11*x_4 + 12*x_5 + 13*x_6 + 14*x_7 = k has no solution for any nonnegative x_i (in other words for every k>15 there exists one or more solutions).
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MATHEMATICA
| Table[FrobeniusNumber[{n+1, n+2, n+3, n+4, n+5, n+6, n+7}], {n, 1, 100}]
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CROSSREFS
| Cf. A028387, A079326, A138985, A138986, A138987, A138988.
Sequence in context: A085157 A065637 A039061 * A171610 A004835 A037341
Adjacent sequences: A138984 A138985 A138986 * A138988 A138989 A138990
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Apr 05 2008
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