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 A138999 First differences of Frobenius numbers for 8 successive numbers A138988. 5
 1, 1, 1, 1, 1, 1, 10, 2, 2, 2, 2, 2, 2, 18, 3, 3, 3, 3, 3, 3, 26, 4, 4, 4, 4, 4, 4, 34, 5, 5, 5, 5, 5, 5, 42, 6, 6, 6, 6, 6, 6, 50, 7, 7, 7, 7, 7, 7, 58, 8, 8, 8, 8, 8, 8, 66, 9, 9, 9, 9, 9, 9, 74, 10, 10, 10, 10, 10, 10, 82, 11, 11, 11, 11, 11, 11, 90, 12, 12, 12, 12, 12, 12, 98, 13, 13, 13, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS For first differences of Frobenius numbers for 2 successive numbers see A005843 For first differences of Frobenius numbers for 3 successive numbers see A014682 For first differences of Frobenius numbers for 4 successive numbers see A138995 For first differences of Frobenius numbers for 5 successive numbers see A138996 For first differences of Frobenius numbers for 6 successive numbers see A138997 For first differences of Frobenius numbers for 7 successive numbers see A138998 For first differences of Frobenius numbers for 8 successive numbers see A138999 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 FORMULA a(n) = A138988(n+1) - A138988(n). From R. J. Mathar, Apr 20 2008: (Start) G.f.: -(-1-x-x^2-x^3-x^4-x^5-10*x^6+2*x^13)/((x-1)^2*(x^6+x^5+x^4+x^3+x^2+x+1)^2). a(n) = 2*a(n-7) - a(n-14). (End) a(n) = -(1/7)*mod(n,7)*x(7+mod(n,7))+(1/7)*mod(n,7)*x(mod(n,7))+x(mod(n,7))-(1/7)*n *x(mod(n,7))+(1/7)*n*x(7+mod(n,7)). - Alexander R. Povolotsky, Apr 20 2008 MATHEMATICA a = {}; Do[AppendTo[a, FrobeniusNumber[{n + 1, n + 2, n + 3, n + 4, n + 5, n + 6, n + 7, n + 8}]], {n, 1, 100}]; Differences[a] Differences[Table[FrobeniusNumber[Range[n, n+7]], {n, 2, 90}]] (* Harvey P. Dale, Oct 02 2011 *) CROSSREFS Cf. A028387, A037165, A079326, A138985, A138986, A138987, A138988, A138989, A138990, A138991, A138992, A138993, A138994, A138995, A138996, A138997, A138998, A138999. Sequence in context: A259712 A343103 A136712 * A351306 A265994 A201278 Adjacent sequences:  A138996 A138997 A138998 * A139000 A139001 A139002 KEYWORD nonn AUTHOR Artur Jasinski, Apr 05 2008 STATUS approved

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Last modified May 28 16:37 EDT 2022. Contains 354119 sequences. (Running on oeis4.)