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 A377375 #9 Dec 29 2024 09:04:11
%S A377375 0,0,0,4,11,25,42,70,101,147,196,264,335,429,526,650,777,935,1096,
%T A377375 1292,1491,1729,1970,2254,2541,2875,3212,3600,3991,4437,4886,5394,
%U A377375 5905,6479,7056,7700,8347,9065,9786,10582,11381,12259,13140,14104,15071,16125,17182,18330,19481,20727
%N A377375 Antidiagonal sums of A342819.
%H A377375 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,-4,1,2,-1).
%F A377375 a(n) = (n - 2)*(2*n^2 + 10*n - 3*(1 + (-1)^n))/12 for n > 1.
%F A377375 a(n) = 2*a(n-1) + a(n-2) - 4*a(n-3) + a(n-4) + 2*a(n-5) - a(n-6) for n > 7.
%F A377375 G.f.: x^3*(4 + 3*x - x^2 - 3*x^3 + x^4)/((1 - x)^4*(1 + x)^2).
%F A377375 E.g.f.: (1 - x + x^2 + x^3/6)*cosh(x) - x*(9 - 6*x - x^2)*sinh(x)/6 - 1 + x.
%t A377375 LinearRecurrence[{2,1,-4,1,2,-1},{0,0,0,4,11,25,42,70},50]
%Y A377375 Cf. A342819.
%K A377375 nonn,easy
%O A377375 0,4
%A A377375 _Stefano Spezia_, Dec 28 2024