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 A167591 #7 Jun 17 2016 02:03:30 %S A167591 1,4,-2,12,-8,9,32,-16,120,-60,80,0,952,-768,525,192,160,5664,-5008, %T A167591 12396,-5670,448,896,27888,-20672,162740,-133128,72765,1024,3584, %U A167591 120064,-46720,1537216,-1562464,2557296,-1081080,2304,12288,467712,76800 %N A167591 A triangle related to the a(n) formulas of the rows of the ED4 array A167584. %C A167591 The a(n) formulas given below correspond to the first ten rows of the ED4 array A167584. %C A167591 The recurrence relations of the a(n) formulas for the left hand triangle columns, see the cross-references below, lead to the sequences A013609, A003148, A081277 and A079628. %e A167591 Row 1: a(n) = 1. %e A167591 Row 2: a(n) = 4*n - 2. %e A167591 Row 3: a(n) = 12*n^2 - 8*n + 9. %e A167591 Row 4: a(n) = 32*n^3 - 16*n^2 + 120*n - 60. %e A167591 Row 5: a(n) = 80*n^4 + 0*n^3 + 952*n^2 - 768*n + 525. %e A167591 Row 6: a(n) = 192*n^5 + 160*n^4 + 5664*n^3 - 5008*n^2 + 12396*n - 5670. %e A167591 Row 7: a(n) = 448*n^6 + 896*n^5 + 27888*n^4 - 20672*n^3 + 162740*n^2 - 133128*n + 72765. %e A167591 Row 8: a(n) = 1024*n^7 + 3584*n^6 + 120064*n^5 - 46720*n^4 + 1537216*n^3 - 1562464*n^2 + 2557296*n - 1081080. %e A167591 Row 9: a(n) = 2304*n^8 + 12288*n^7 + 467712*n^6 + 76800*n^5 + 11589216*n^4 - 12058368*n^3 + 47963568*n^2 - 38278080*n + 18243225. %e A167591 Row 10: a(n) = 5120*n^9 + 38400*n^8 + 1686528*n^7 + 1540608*n^6 + 73898880*n^5 - 66179520*n^4 + 631348672*n^3 - 669559008*n^2 + 869709780*n - 344594250. %Y A167591 A167584 is the ED4 array. %Y A167591 A000012, A016825, A167585, A167586 and A167587 equal the first five rows of the ED4 array. %Y A167591 A001787, A167592, A167593, A168307 and A168308 equal the first five left hand triangle columns. %Y A167591 A001193 equals the first right hand triangle column. %Y A167591 A024199 equals the row sums. %Y A167591 Cf. A013609, A003148, A079628 and A081277. %K A167591 sign,tabl %O A167591 1,2 %A A167591 _Johannes W. Meijer_, Nov 10 2009 %E A167591 Comment and formulas added by _Johannes W. Meijer_, Nov 23 2009