OFFSET
1,6
COMMENTS
First differences of Frobenius numbers for 2 successive numbers see A005843
First differences of Frobenius numbers for 3 successive numbers see A014682
First differences of Frobenius numbers for 4 successive numbers see A138995
First differences of Frobenius numbers for 5 successive numbers see A138996
First differences of Frobenius numbers for 6 successive numbers see A138997
First differences of Frobenius numbers for 7 successive numbers see A151898
First differences of Frobenius numbers for 8 successive numbers see A138999
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2,0,0,0,0,0,-1).
FORMULA
G.f.: -x*(2*x^11-9*x^5-x^4-x^3-x^2-x-1) / ((x-1)^2*(x+1)^2*(x^2-x+1)^2*(x^2+x+1)^2). [Colin Barker, Dec 13 2012]
MATHEMATICA
a = {}; Do[AppendTo[a, FrobeniusNumber[{n + 1, n + 2, n + 3, n + 4, n + 5, n + 6, n + 7}]], {n, 1, 100}]; Differences[a]
Differences[Table[FrobeniusNumber[Range[n, n+6]], {n, 2, 90}]] (* or *) LinearRecurrence[ {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 2, 16}, 90] (* Harvey P. Dale, Jul 26 2024 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Artur Jasinski, Apr 05 2008
STATUS
approved