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A375378
Value of the power tower formed by the numbers in the n-th composition (in standard order).
1
1, 1, 2, 1, 3, 2, 1, 1, 4, 3, 4, 2, 1, 1, 1, 1, 5, 4, 9, 3, 8, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 6, 5, 16, 4, 27, 9, 3, 3, 16, 8, 16, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 6, 25, 5, 64, 16, 4, 4, 81, 27, 81, 9, 3, 3, 3, 3, 32, 16
OFFSET
0,3
COMMENTS
It is natural to define a(0) = 1.
FORMULA
a(n) = A065120(n)^a(A053645(n)) for n >= 1.
a(n) = 1 if and only if A065120(n) <= 1, i.e., if and only if n is in A004760.
EXAMPLE
For n = 38, the 38th composition is (3,1,2), so a(38) = 3^1^2 = 3^1 = 3.
CROSSREFS
Cf. A004760, A053645, A065120, A066099 (compositions in standard order), A375379.
Sequence in context: A176206 A232890 A300441 * A295665 A103484 A016444
KEYWORD
nonn
AUTHOR
STATUS
approved