A350394 Largest degree of x with the largest coefficient in Product_{k=1..n} (1 + x^k).

0, 1, 3, 3, 7, 10, 12, 16, 18, 24, 28, 33, 39, 46, 53, 60, 68, 77, 86, 95, 105, 116, 127, 138, 150, 163, 176, 189, 203, 218, 233, 248, 264, 281, 298, 315, 333, 352, 371, 390, 410, 431, 452, 473, 495, 518, 541, 564, 588, 613, 638, 663, 689, 716, 743, 770, 798, 827, 856, 885, 915, 946, 977

Offset: 0

Author

Max Alekseyev, Dec 28 2021

Keywords

• nonn

Comments

Apparently, a(n) = A054925(n+1) for n >= 10. - Hugo Pfoertner, Dec 30 2021

Crossrefs

Cf. A025591 (largest coefficient), A350393 (smallest degree of x), A350395, A350396.

Cf. A054925.

Programs

PARI

{ A350394(n) = my(v,t,x='x); v = Vec(prod(k=1,n,1+x^k)); vecmax(v,&t); #v-t; }