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A326038
Square root of the largest square dividing the sum of divisors of n: a(n) = A000188(sigma(n)).
2
1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1, 2, 2, 1, 3, 1, 2, 1, 4, 6, 2, 2, 1, 1, 2, 2, 1, 6, 4, 3, 4, 3, 4, 1, 1, 2, 2, 3, 1, 4, 2, 2, 1, 6, 4, 2, 1, 1, 6, 7, 3, 2, 6, 2, 4, 3, 2, 2, 1, 4, 2, 1, 2, 12, 2, 3, 4, 12, 6, 1, 1, 1, 2, 2, 4, 2, 4, 1, 11, 3, 2, 4, 6, 2, 2, 6, 3, 3, 4, 2, 8, 12, 2, 6, 7, 3, 2, 1, 1, 6, 2, 1, 8
OFFSET
1,3
FORMULA
a(n) = A000188(A000203(n)) = A000196(A326039(n)).
MATHEMATICA
Table[Last[Select[Sqrt[#]&/@Divisors[DivisorSigma[1, n]], IntegerQ]], {n, 120}] (* Harvey P. Dale, Jun 25 2022 *)
PROG
(PARI)
A000188(n) = core(n, 1)[2]; \\ From A000188
A326038(n) = A000188(sigma(n));
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jun 05 2019
STATUS
approved