A056201 - OEIS

A056201

Characteristic cube divisor (A056191) of central binomial coefficient (A001405).

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 27, 216, 8, 1, 1, 1, 27, 27, 1, 1, 1, 8, 1, 1, 1, 8, 1, 8, 216, 27, 1, 1, 1, 8, 27, 216, 8, 1, 1, 8, 8, 1, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 8, 8, 1, 1, 1, 1, 8, 27, 216, 216, 27, 1, 8, 8, 1, 8, 1, 27, 216

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OFFSET

1,14

LINKS

Table of n, a(n) for n=1..94.

FORMULA

a(n) = A056059(n)^3 = g^3 and binomial(n, floor(n/2)) = a(n)^3 * L^2 * A056060(n), where L = A056056(n)/A056059(n).

EXAMPLE

n=14, binomial(14,8) = 3432 = 2*2*2*3*11*13 so g(3432)=2, thus a(14)=8.

CROSSREFS

Cf. A056056-A056060, A056202.

Equals A056059^3.