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A237433 Canonical index of prime signature of n. 1
1, 2, 2, 3, 2, 4, 2, 5, 3, 4, 2, 6, 2, 4, 4, 8, 2, 4, 2, 6, 4, 4, 2, 9, 3, 4, 5, 6, 2, 7, 2, 13, 4, 4, 4, 10, 2, 4, 4, 9, 2, 7, 2, 6, 6, 4, 2, 14, 3, 4, 4, 6, 2, 7, 4, 9, 4, 4, 2, 11, 2, 4, 6, 20, 4, 7, 2, 6, 4, 7, 2, 15, 2, 4, 4, 6, 4, 7, 2, 14, 8, 4, 2, 11, 4, 4, 4, 9, 2, 7, 4, 6, 4, 4, 4, 21, 2, 4, 6, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Index of prime signature of n when prime signatures are listed in "canonical" order as defined in the "Canonical ordering of the partitions" link.
Note that A236515 uses a different ordering (see 2nd link).
LINKS
EXAMPLE
a(7) = a({1}) = 2, a(180) = a({2,2,1}) = 17, a(216) = a({3,3}) = 24
=====================================================================
a(1) = 1,
For all n in A000040, prime_signature(n) = {1}, a(n) = 2,
For all n in A001248, prime_signature(n) = {2}, a(n) = 3,
For all n in A006881, prime_signature(n) = {1,1}, a(n) = 4,
For all n in A030078, prime_signature(n) = {3}, a(n) = 5,
For all n in A054753, prime_signature(n) = {2,1}, a(n) = 6,
For all n in A007304, prime_signature(n) = {1,1,1}, a(n) = 7, etc.
CROSSREFS
Cf. A236515.
Sequence in context: A290110 A300250 A319357 * A236515 A318469 A300224
KEYWORD
nonn
AUTHOR
Sung-Hyuk Cha, Feb 07 2014
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)