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A138988 a(n) = Frobenius number for 8 successive numbers = F(n+1,n+2,n+3,n+4,n+5,n+6,n+7,n+8). 17
1, 2, 3, 4, 5, 6, 7, 17, 19, 21, 23, 25, 27, 29, 47, 50, 53, 56, 59, 62, 65, 91, 95, 99, 103, 107, 111, 115, 149, 154, 159, 164, 169, 174, 179, 221, 227, 233, 239, 245, 251, 257, 307, 314, 321, 328, 335, 342, 349, 407, 415, 423, 431, 439, 447, 455, 521, 530, 539 (list; graph; refs; listen; history; text; internal format)
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..59.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,2,-2,0,0,0,0,0,-1,1).

FORMULA

G.f.: x*(x^14-8*x^7-x^6-x^5-x^4-x^3-x^2-x-1) / ((x-1)^3*(x^6+x^5+x^4+x^3+x^2+x+1)^2). [Colin Barker, Dec 13 2012]

EXAMPLE

a(8)=17 because 17 is the biggest number k such that equation:

9*x_1+10*x_2+11*x_3+12*x_4+13*x_5+14*x_6+15*x_7+16*x_8 = k has no solution for any nonnegative x_i (in other words for every k>17 there exists one or more solutions)

MATHEMATICA

Table[FrobeniusNumber[{n + 1, n + 2, n + 3, n + 4, n + 5, n + 6, n + 7, n + 8}], {n, 1, 100}]

Table[FrobeniusNumber[n+Range[8]], {n, 100}] (* Harvey P. Dale, Sep 22 2015 *)

CROSSREFS

Cf. A028387, A079326, A138985, A138986, A138987, A138988.

Sequence in context: A325829 A171678 A039090 * A055520 A037342 A200333

Adjacent sequences:  A138985 A138986 A138987 * A138989 A138990 A138991

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski, Apr 05 2008

STATUS

approved

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Last modified December 8 17:36 EST 2019. Contains 329865 sequences. (Running on oeis4.)