%I A138997
%S A138997 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,
%T A138997 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,
%U A138997 74,13,13,13,13,80,14,14,14,14,86,15,15,15,15,92,16,16,16,16,98,17,17
%N A138997 First differences of Frobenius numbers for 6 successive numbers A138986.
%C A138997 For first differences of Frobenius numbers for 2 successive numbers see 
               A005843
%C A138997 For first differences of Frobenius numbers for 3 successive numbers see 
               A014682
%C A138997 For first differences of Frobenius numbers for 4 successive numbers see 
               A138995
%C A138997 For first differences of Frobenius numbers for 5 successive numbers see 
               A138996
%C A138997 For first differences of Frobenius numbers for 6 successive numbers see 
               A138997
%C A138997 For first differences of Frobenius numbers for 7 successive numbers see 
               A138998
%C A138997 For first differences of Frobenius numbers for 8 successive numbers see 
               A138999
%F A138997 a(n)=A138986(n+1)-A138986(n)
%F A138997 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. Also a(n)=2*a(n-5)-a(n-10).
%F A138997 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 
               (pevnev(AT)juno.com), Apr 20 2008
%t A138997 a = {}; Do[AppendTo[a, FrobeniusNumber[{n + 1, n + 2, n + 3, n + 4, n 
               + 5, n + 6}]], {n, 1, 100}]; Differences[a]
%Y A138997 Cf. A028387, A037165, A079326, A138985, A138986, A138987, A138988, A138989, 
               A138990, A138991, A138992, A138993, A138994, A138995, A138996, A138997, 
               A138998, A138999.
%Y A138997 Sequence in context: A010150 A136711 A037920 this_sequence A133918 A072691 
               A021928
%Y A138997 Adjacent sequences: A138994 A138995 A138996 this_sequence A138998 A138999 
               A139000
%K A138997 nonn
%O A138997 1,5
%A A138997 Artur Jasinski (grafix(AT)csl.pl), Apr 05 2008