A375378 Value of the power tower formed by the numbers in the n-th composition (in standard order).

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.

Links

Table of n, a(n) for n=0..81.

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

Adjacent sequences: A375375 A375376 A375377 * A375379 A375380 A375381

Keyword

nonn

Author

Pontus von Brömssen, Aug 14 2024

Status

approved