OFFSET
1,4
COMMENTS
a(n) is a divisor of A072504(n). The first few values of n for which a(n) != A072504(n) are 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 110, ... . - Pontus von Brömssen, May 15 2024
FORMULA
Denominators of coefficients in expansion of Sum_{k>=1} x^(k^2) / (k * (1 - x^k)).
EXAMPLE
1, 1, 1, 3/2, 1, 3/2, 1, 3/2, 4/3, 3/2, 1, 11/6, 1, 3/2, 4/3, 7/4, 1, 11/6, ...
MATHEMATICA
nmax = 80; CoefficientList[Series[Sum[x^(k^2)/(k (1 - x^k)), {k, 1, nmax}], {x, 0, nmax}], x] // Denominator // Rest
PROG
(PARI) a(n) = denominator(sumdiv(n, d, if (d^2 <= n, 1/d))); \\ Michel Marcus, May 14 2024
KEYWORD
nonn,frac
AUTHOR
Ilya Gutkovskiy, May 14 2024
STATUS
approved