STATUS
proposed
approved
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Revision History for A336571
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Number of sets of divisors d|n, 1 < d < n, all belonging to A130091 (numbers with distinct prime multiplicities) and forming a divisibility chain.
(history; published version)
(history; published version)
STATUS
editing
proposed
COMMENTS
A number's prime signature (row n of A124010) is the sequence of positive exponents in its prime factorization, so a number has distinct prime multiplicities iff all the exponents in its prime signature has no repeated partsare distinct.
STATUS
proposed
editing
STATUS
editing
proposed
COMMENTS
A number 's prime signature (row n of A124010) is the sequence of positive exponents in its prime factorization, so a number has distinct prime multiplicities iff its prime signature is stricthas no repeated parts.
STATUS
proposed
editing
STATUS
editing
proposed
CROSSREFS
A074206 counts strict chains of divisors from n to 1.
NAME
Number of sets of divisors d|n, 1 < d < n, all belonging to A130091 (numbers with distinct prime exponentsmultiplicities) and forming a divisibility chain.
COMMENTS
A number has distinct prime exponents multiplicities iff its prime signature is strict.
CROSSREFS
A002033 counts chains of divisors, or ordered factorizations.
A071625 counts distinct prime exponentsmultiplicities.
A130091 lists numbers with distinct prime exponentsA074206 counts chains of divisors.
A181796 counts divisors A130091 lists numbers with distinct prime exponentsmultiplicities.
A181796 counts divisors with distinct prime multiplicities.
Cf. A001222, A002033, A005117, A098859, A118914, A124010, A294068, A305149, A327498, A327523, A336568, A336569.
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed