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 A167582 #5 Jun 17 2016 00:09:35 %S A167582 3,98,1080,7568,40976,187488,761600,2830848,9821952,32254464, %T A167582 101263360,306229248,897175552,2558058496,7123894272,19434569728, %U A167582 52063567872,137236709376,356550967296,914355126272,2317328842752 %N A167582 The third left hand column of triangle A167580. %H A167582 G. C. Greubel, <a href="/A167582/b167582.txt">Table of n, a(n) for n = 3..1000</a> %H A167582 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (12, -60, 160, -240, 192, -64). %F A167582 a(n) = 2^n*(14*n^5 - 95*n^4 + 240*n^3 - 280*n^2 + 151*n - 30)/240. %F A167582 GF(z) = (8*z^3 + 84*z^2 + 62*z + 3)/(1-2*z)^6. %F A167582 a(n) = 12*a(n-1) - 60*a(n-2) + 160*a(n-3) - 240*a(n-4) + 192*a(n-5) - 64*a(n-6). %F A167582 a(n)-11*a(n-1)+50*a(n-2)-120*a(n-3)+160*a(n-4)-112*a(n-5)+32*a(n-6) = 7*2^(n-1). %t A167582 LinearRecurrence[{12, -60, 160, -240, 192, -64}, {3, 98, 1080, 7568, 40976, 187488}, 100] (* _G. C. Greubel_, Jun 16 2016 *) %Y A167582 Equals the third left hand column of triangle A167580. %Y A167582 Other left hand columns are A014480, A167581, A168305 and A168306. %K A167582 easy,nonn %O A167582 3,1 %A A167582 _Johannes W. Meijer_, Nov 10 2009 %E A167582 Formulae and links added by _Johannes W. Meijer_, Nov 23 2009