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 A138997 First differences of Frobenius numbers for 6 successive numbers A138986. 5
 1, 1, 1, 1, 8, 2, 2, 2, 2, 14, 3, 3, 3, 3, 20, 4, 4, 4, 4, 26, 5, 5, 5, 5, 32, 6, 6, 6, 6, 38, 7, 7, 7, 7, 44, 8, 8, 8, 8, 50, 9, 9, 9, 9, 56, 10, 10, 10, 10, 62, 11, 11, 11, 11, 68, 12, 12, 12, 12, 74, 13, 13, 13, 13, 80, 14, 14, 14, 14, 86, 15, 15, 15, 15, 92, 16, 16, 16, 16, 98, 17, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 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 G. C. Greubel, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,2,0,0,0,0,-1). FORMULA a(n) = A138986(n+1) - A138986(n). O.g.f.= -(-1-x-x^2-x^3-8*x^4+2*x^9)/((x-1)^2*(x^4+x^3+x^2+x+1)^2). - R. J. Mathar, Apr 20 2008 a(n) = 2*a(n-5) - a(n-10). - R. J. Mathar, Apr 20 2008 a(n)= (1/5)*n*x(5+mod(n,5))-(1/5)*mod(n,5)*x(5+mod(n,5))+x(mod(n,5))-(1/5)*n*x(mod(n,5))+(1/5) *mod(n,5)*x(mod(n,5)). - 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, 1, 100}]; Differences[a] LinearRecurrence[{0, 0, 0, 0, 2, 0, 0, 0, 0, -1}, {1, 1, 1, 1, 8, 2,   2, 2, 2, 14}, 50] (* G. C. Greubel, Feb 18 2017 *) PROG (PARI) x='x + O('x^50); Vec(-(-1-x-x^2-x^3-8*x^4+2*x^9)/((x-1)^2*(x^4+x^3+x^2+x+1)^2)) \\ G. C. Greubel, Feb 18 2017 CROSSREFS Cf. A028387, A037165, A079326, A138985, A138986, A138987, A138988, A138989, A138990, A138991, A138992, A138993, A138994, A138995, A138996, A138997, A138998, A138999. Sequence in context: A176153 A136711 A037920 * A248498 A133918 A072691 Adjacent sequences:  A138994 A138995 A138996 * A138998 A138999 A139000 KEYWORD nonn AUTHOR Artur Jasinski, Apr 05 2008 STATUS approved

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Last modified August 5 04:03 EDT 2021. Contains 346457 sequences. (Running on oeis4.)