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%I
%S 7,71,350,1204,3329,7936,16981,33452,61719,107953,180620,291056,
%T 454129,688994,1019947,1477384,2098871,2930331,4027354,5456636,
%U 7297553,9643876,12605633,16311124,20909095,26571077,33493896,41902360,52052129
%N Column 6 of array illustrated in A089574 and related to A034261.
%C Column six is associated with the following partitions: 66, 552, 443, 4422, 3332, 33222 and 222222.
%H <a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1). [From _R. J. Mathar_, Jun 26 2010]
%F a(n) = A107601(10+n,5+n) = n*(1384+4683*n^2+2142*n+2*n^6+651*n^4+63*n^5+2835*n^3)/1680. a(n)= +8*a(n-1) -28*a(n-2) +56*a(n-3) -70*a(n-4) +56*a(n-5) -28*a(n-6) +8*a(n-7) -a(n-8). G.f.: x*(7+15*x-22*x^2+11*x^4-6*x^5+x^6)/(x-1)^8. [From _R. J. Mathar_, Jun 26 2010]
%e a(1) = 7 because there are 3 permutations of 443 and 4 permutations of 3332.
%e a(2) = 71 because there are 1 + 3 + 18 + 6 + 32 + 10 + 1 permutations of the associated partitions.
%Y Cf. A107600.
%K nonn
%O 0,1
%A _Alford Arnold_, May 27 2005
%E Extended beyond a(5) by _R. J. Mathar_, Jun 26 2010
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