A350393 Smallest degree of x with the largest coefficient in Product_{k=1..n} (1 + x^k).

0, 0, 0, 3, 3, 5, 9, 12, 18, 21, 27, 33, 39, 45, 52, 60, 68, 76, 85, 95, 105, 115, 126, 138, 150, 162, 175, 189, 203, 217, 232, 248, 264, 280, 297, 315, 333, 351, 370, 390, 410, 430, 451, 473, 495, 517, 540, 564, 588, 612, 637, 663, 689, 715, 742, 770, 798, 826, 855, 885, 915, 945, 976

Offset

0,4

Comments

Apparently, a(n) = A011848(n+1) for n >= 10. - Hugo Pfoertner, Dec 30 2021

Links

Table of n, a(n) for n=0..62.

Prog

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

Crossrefs

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

Cf. A011848.

Sequence in context: A317142 A279375 A245143 * A325849 A104220 A321986

Adjacent sequences: A350390 A350391 A350392 * A350394 A350395 A350396

Keyword

nonn

Author

Max Alekseyev, Dec 28 2021

Status

approved