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A138986 a(n) = Frobenius number for 6 successive numbers = F(n+1,n+2,n+3,n+4,n+5,n+6). 17
1, 2, 3, 4, 5, 13, 15, 17, 19, 21, 35, 38, 41, 44, 47, 67, 71, 75, 79, 83, 109, 114, 119, 124, 129, 161, 167, 173, 179, 185, 223, 230, 237, 244, 251, 295, 303, 311, 319, 327, 377, 386, 395, 404, 413, 469, 479, 489, 499, 509, 571, 582, 593, 604, 615, 683, 695, 707 (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..58.

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

FORMULA

G.f.: x*(x^10-6*x^5-x^4-x^3-x^2-x-1) / ((x-1)^3*(x^4+x^3+x^2+x+1)^2). [Colin Barker, Dec 13 2012]

EXAMPLE

a(6)=13 because 13 is the biggest number k such that equation:

7*x_1+8*x_2+9*x_3+10*x_4+11*x_5+12*x_6 = k has no solution for any nonnegative x_i (in other words for every k>13 there exists one or more solutions)

MATHEMATICA

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

Table[FrobeniusNumber[Range[n, n+5]], {n, 2, 100}] (* Harvey P. Dale, Dec 22 2018 *)

CROSSREFS

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

Sequence in context: A141484 A175303 A057158 * A306294 A098552 A245447

Adjacent sequences:  A138983 A138984 A138985 * A138987 A138988 A138989

KEYWORD

nonn,easy

AUTHOR

Artur Jasinski, Apr 05 2008

STATUS

approved

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Last modified November 19 00:12 EST 2019. Contains 329310 sequences. (Running on oeis4.)