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A356413
Numbers with an equal sum of the even and odd exponents in their prime factorizations.
4
1, 60, 84, 90, 126, 132, 140, 150, 156, 198, 204, 220, 228, 234, 260, 276, 294, 306, 308, 315, 340, 342, 348, 350, 364, 372, 380, 414, 444, 460, 476, 490, 492, 495, 516, 522, 525, 532, 550, 558, 564, 572, 580, 585, 620, 636, 644, 650, 666, 693, 708, 726, 732, 735
OFFSET
1,2
COMMENTS
Numbers k such that A350386(k) = A350387(k).
A085987 is a subsequence. Terms that are not in A085987 are 1, 2160, 3024, ...
LINKS
EXAMPLE
60 is a term since A350386(60) = A350387(60) = 2.
MATHEMATICA
f[p_, e_] := (-1)^e*e; q[1] = True; q[n_] := Plus @@ f @@@ FactorInteger[n] == 0; Select[Range[1000], q]
PROG
(PARI) isok(n) = {my(f = factor(n)); sum(i = 1, #f~, (-1)^f[i, 2]*f[i, 2]) == 0};
CROSSREFS
Subsequence of A028260.
Subsequences: A085987, A179698, A190109, A190110.
Similar sequences: A048109, A187039, A348097.
Sequence in context: A009129 A174292 A085987 * A086974 A099831 A306222
KEYWORD
nonn
AUTHOR
Amiram Eldar, Aug 06 2022
STATUS
approved