A276978 a(n) = (ceiling(n/2))^n.

1, 1, 8, 16, 243, 729, 16384, 65536, 1953125, 9765625, 362797056, 2176782336, 96889010407, 678223072849, 35184372088832, 281474976710656, 16677181699666569, 150094635296999121, 10000000000000000000, 100000000000000000000, 7400249944258160101211

Offset

1,3

Comments

Functions from [n] to [n] with f(i) odd for all i.

Apart from initial term first differs from A132377 at a(9).

With a(1) = 0: AGM transform of A000035. See A368366 for the definition of the AGM transform. - Alois P. Heinz, Jan 24 2024

Links

Table of n, a(n) for n=1..21.

Mathematica

Table[Ceiling[n/2]^n, {n, 1, 21}]

Prog

(PARI) a(n)= ceil(n/2)^n; \\ Michel Marcus, Oct 08 2016

Crossrefs

Cf. A206344, A276979 (other similar classes of endofunctions).

Cf. A000035, A368366.

Sequence in context: A005445 A322342 A132377 * A265094 A285060 A371009

Adjacent sequences: A276975 A276976 A276977 * A276979 A276980 A276981

Keyword

nonn,easy

Author

Olivier Gérard, Sep 23 2016

Status

approved