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 A106113 #15 Jan 05 2025 19:51:38 %S A106113 0,0,0,1,8,29,72,146,261,428,659,967,1366,1871,2498,3264,4187,5286, %T A106113 6581,8093,9844,11857,14156,16766,19713,23024,26727,30851,35426,40483, %U A106113 46054,52172,58871,66186,74153,82809,92192,102341,113296,125098,137789,151412 %N A106113 5th diagonal of triangle in A059317. %H A106113 W. F. Klostermeyer, M. E. Mays, L. Soltes and G. Trapp, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/35-4/klostermeyer.pdf">A Pascal rhombus</a>, Fibonacci Quarterly, 35 (1997), 318-328. %H A106113 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A106113 For n>2, a(n) = (1/24) [n^4 + 14n^3 - 97n^2 + 154n - 24 ]. %F A106113 From _Chai Wah Wu_, Mar 11 2021: (Start) %F A106113 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n > 7. %F A106113 G.f.: x^3*(-x^4 + 3*x^3 + x^2 - 3*x - 1)/(x - 1)^5. (End) %o A106113 (PARI) a(n)=if(n>2,n^4 + 14*n^3 - 97*n^2 + 154*n - 24,0)/24 \\ _Charles R Greathouse IV_, Oct 21 2022 %K A106113 nonn,easy %O A106113 0,5 %A A106113 _N. J. A. Sloane_, May 28 2005