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 A380975 #3 Feb 10 2025 06:28:23
%S A380975 1,80,5616,378880,25108976,1647924480,107513168896,6986714808320,
%T A380975 452774526525936,29282607270465280,1890903981075228416,
%U A380975 121957594044379545600,7858392761937306551296,505967049989822738186240,32556176323125901615005696,2093691733876474661699584000
%N A380975 Self-convolution of A300116.
%F A380975 Recurrence: n^5*a(n) = 8*(24*n^5 - 40*n^4 + 50*n^3 - 35*n^2 + 13*n - 2)*a(n-1) - 512*(24*n^5 - 80*n^4 + 130*n^3 - 115*n^2 + 53*n - 10)*a(n-2) + 262144*(n-1)^5*a(n-3).
%F A380975 a(n) ~ Gamma(1/4)^8 * 2^(6*n - 4) / Pi^6.
%t A380975 RecurrenceTable[{-262144*(n-1)^5*a[n-3] + 512*(-10 + 53*n - 115*n^2 + 130*n^3 - 80*n^4 + 24*n^5)*a[n-2] - 8*(-2 + 13*n - 35*n^2 + 50*n^3 - 40*n^4 + 24*n^5)*a[n-1] + n^5*a[n] == 0, a[0] == 1, a[1] == 80, a[2] == 5616}, a, {n, 0, 20}]
%Y A380975 Cf. A300116.
%K A380975 nonn
%O A380975 0,2
%A A380975 _Vaclav Kotesovec_, Feb 10 2025, following a suggestion from _John M. Campbell_