

A138984


a(n) = Frobenius number for 4 successive numbers = F(n+1,n+2,n+3,n+4).


7



1, 2, 3, 9, 11, 13, 23, 26, 29, 43, 47, 51, 69, 74, 79, 101, 107, 113, 139, 146, 153, 183, 191, 199, 233, 242, 251, 289, 299, 309, 351, 362, 373, 419, 431, 443, 493, 506, 519, 573, 587, 601, 659, 674, 689, 751, 767, 783, 849, 866, 883, 953, 971, 989, 1063, 1082
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OFFSET

1,2


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.


LINKS

Table of n, a(n) for n=1..56.
Index entries for linear recurrences with constant coefficients, signature (1,0,2,2,0,1,1).


FORMULA

G.f.: x*(x^64*x^3x^2x1) / ((x1)^3*(x^2+x+1)^2). [Colin Barker, Dec 13 2012]


EXAMPLE

a(4) = 9 because 9 is the biggest number k such that equation: 5*x_1+6*x_2+7*x_3+9*x_4 = k has no solution for any nonnegative x_i (in other words for every k>9 there exists one or more solutions)


MATHEMATICA

Table[FrobeniusNumber[{n + 1, n + 2, n + 3, n + 4}], {n, 1, 100}]


CROSSREFS

Cf. A028387, A079326, A138985, A138986, A138987, A138988.
Sequence in context: A140222 A272537 A121557 * A110772 A074338 A111319
Adjacent sequences: A138981 A138982 A138983 * A138985 A138986 A138987


KEYWORD

nonn,easy


AUTHOR

Artur Jasinski, Apr 05 2008


STATUS

approved



