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 A200765 #19 Jul 22 2025 15:54:56 %S A200765 6,32,110,297,679,1387,2583,4500,7410,11669,17687,25980,37111,51787, %T A200765 70763,94950,125323,163042,209312,265570,333296,414214,510106,623032, %U A200765 755080,908676,1086266,1290643,1524638,1791469,2094349,2436949,2822922 %N A200765 Number of 0..n arrays x(0..4) of 5 elements with nondecreasing average value. %C A200765 Row 5 of A200763 %H A200765 R. H. Hardin, <a href="/A200765/b200765.txt">Table of n, a(n) for n = 1..210</a> %F A200765 Empirical: a(n) = a(n-1) +2*a(n-2) -3*a(n-4) -3*a(n-5) +3*a(n-6) +3*a(n-7) +a(n-8) -3*a(n-9) -3*a(n-10) +a(n-11) +3*a(n-12) +3*a(n-13) -3*a(n-14) -3*a(n-15) +2*a(n-17) +a(n-18) -a(n-19) %F A200765 Empirical g.f.: -x*(-6 -26*x -66*x^2 -123*x^3 -180*x^4 -228*x^5 -246*x^6 -250*x^7 -240*x^8 -222*x^9 -184*x^10 -129*x^11 -69*x^12 -21*x^13 -2*x^14 -x^15 -2*x^16 -x^17+x^18) / ( (x^2+1) *(x^4+1) *(1+x+x^2)^2 *(1+x)^3 *(x-1)^6 ). - _R. J. Mathar_, Nov 22 2011 %e A200765 Some solutions for n=8 %e A200765 ..1....0....0....2....0....1....1....0....0....0....0....2....2....5....0....1 %e A200765 ..5....2....0....2....0....1....1....4....1....3....8....4....3....7....2....6 %e A200765 ..7....1....2....2....6....1....3....5....4....4....8....6....7....7....8....7 %e A200765 ..5....3....8....3....3....8....3....5....3....4....8....8....4....8....7....5 %e A200765 ..8....7....3....3....8....4....8....8....8....8....6....8....4....7....5....5 %K A200765 nonn %O A200765 1,1 %A A200765 _R. H. Hardin_, Nov 22 2011