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 A096959 #10 Sep 08 2022 08:45:14 %S A096959 6,31,96,231,476,882,1512,2442,3762,5577,8008,11193,15288,20468,26928, %T A096959 34884,44574,56259,70224,86779,106260,129030,155480,186030,221130, %U A096959 261261,306936,358701,417136,482856,556512,638792,730422,832167,944832 %N A096959 Sixth column (m=5) of (1,6)-Pascal triangle A096956. %H A096959 G. C. Greubel, <a href="/A096959/b096959.txt">Table of n, a(n) for n = 0..1000</a> %H A096959 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1). %F A096959 a(n) = A096956(n+5, 5). %F A096959 a(n) = 6*b(n) - 5*b(n-1), with b(n) = A000389(n+5) = binomial(n+5, 5). %F A096959 a(n) = (n+30)*binomial(n+4, 4)/5. %F A096959 G.f.: (6-5*x)/(1-x)^6. %F A096959 E.g.f.: x*(720 + 1140*x + 420*x^2 + 45*x^3 + x^4)*exp(x)/120. - _G. C. Greubel_, Nov 24 2017 %t A096959 Table[(n + 30)*Binomial[n + 4, 4]/5, {n, 0, 50}] (* _G. C. Greubel_, Nov 24 2017 *) %o A096959 (PARI) for(n=0,30, print1((n+30)*binomial(n+4, 4)/5, ", ")) \\ _G. C. Greubel_, Nov 24 2017 %o A096959 (Magma) [(n+30)*Binomial(n+4, 4)/5: n in [0..30]]; // _G. C. Greubel_, Nov 24 2017 %Y A096959 Cf. A096958 (fifth column), A097297 (seventh column). %K A096959 nonn,easy %O A096959 0,1 %A A096959 _Wolfdieter Lang_, Aug 13 2004