A276979 a(n) = (floor(n/2)+1)^n.

1, 4, 8, 81, 243, 4096, 16384, 390625, 1953125, 60466176, 362797056, 13841287201, 96889010407, 4398046511104, 35184372088832, 1853020188851841, 16677181699666569, 1000000000000000000, 10000000000000000000, 672749994932560009201

Offset

1,2

Comments

Functions from [n] to [n] with f(i) even or f(i) = 1 for all i.

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

Links

Table of n, a(n) for n=1..20.

Mathematica

Table[(Floor[n/2] + 1)^n, {n, 1, 20}]

Prog

(PARI) a(n) = (n\2 + 1)^n; \\ Michel Marcus, Oct 08 2016

Crossrefs

Cf. A206344, A276978.

Sequence in context: A288956 A353032 A236284 * A221256 A068208 A090254

Adjacent sequences: A276976 A276977 A276978 * A276980 A276981 A276982

Keyword

nonn,easy

Author

Olivier Gérard, Sep 23 2016

Status

approved