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Smallest degree of x with the largest coefficient in Product_{k=1..n} (1 + x^k).
4

%I #9 Dec 30 2021 14:11:36

%S 0,0,0,3,3,5,9,12,18,21,27,33,39,45,52,60,68,76,85,95,105,115,126,138,

%T 150,162,175,189,203,217,232,248,264,280,297,315,333,351,370,390,410,

%U 430,451,473,495,517,540,564,588,612,637,663,689,715,742,770,798,826,855,885,915,945,976

%N Smallest degree of x with the largest coefficient in Product_{k=1..n} (1 + x^k).

%C Apparently, a(n) = A011848(n+1) for n >= 10. - _Hugo Pfoertner_, Dec 30 2021

%o (PARI) { A350393(n) = my(v,t,x='x); v = Vecrev(prod(k=1,n,1+x^k)); vecmax(v,&t); t-1; }

%Y Cf. A025591 (largest coefficient), A350394 (largest degree of x), A350395, A350396.

%Y Cf. A011848.

%K nonn

%O 0,4

%A _Max Alekseyev_, Dec 28 2021