OFFSET
0,4
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..700
MAPLE
b:= proc(n) option remember; `if`(n=0, 1,
expand((1+x^ithprime(n))*b(n-1)))
end:
a:= n-> max(coeffs(b(n))):
seq(a(n), n=0..40); # Alois P. Heinz, Jan 01 2022
MATHEMATICA
b[n_] := b[n] = If[n == 0, 1, Expand[(1 + x^Prime[n])*b[n - 1]]];
a[n_] := Max[CoefficientList[b[n], x]];
Table[a[n], {n, 0, 40}] (* Jean-François Alcover, Feb 26 2022, after Alois P. Heinz *)
PROG
(PARI) a(n) = vecmax(Vec(prod(k=1, n, 1 + x^prime(k)))); \\ Michel Marcus, Jan 01 2022
(Python)
from sympy.abc import x
from sympy import prime, prod
def A350457(n): return 1 if n == 0 else max(prod(1+x**prime(i) for i in range(1, n+1)).as_poly().coeffs()) # Chai Wah Wu, Jan 03 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 01 2022
STATUS
approved