This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A107601 #10 Jun 18 2017 02:23:10 %S A107601 7,71,350,1204,3329,7936,16981,33452,61719,107953,180620,291056, %T A107601 454129,688994,1019947,1477384,2098871,2930331,4027354,5456636, %U A107601 7297553,9643876,12605633,16311124,20909095,26571077,33493896,41902360,52052129 %N A107601 Column 6 of array illustrated in A089574 and related to A034261. %C A107601 Column six is associated with the following partitions: 66, 552, 443, 4422, 3332, 33222 and 222222. %H A107601 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1). [From _R. J. Mathar_, Jun 26 2010] %F A107601 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 A107601 a(1) = 7 because there are 3 permutations of 443 and 4 permutations of 3332. %e A107601 a(2) = 71 because there are 1 + 3 + 18 + 6 + 32 + 10 + 1 permutations of the associated partitions. %Y A107601 Cf. A107600. %K A107601 nonn %O A107601 0,1 %A A107601 _Alford Arnold_, May 27 2005 %E A107601 Extended beyond a(5) by _R. J. Mathar_, Jun 26 2010