A272101 - OEIS

A272101

Square root of largest square dividing A069482(n).

1, 4, 2, 6, 4, 2, 6, 2, 2, 2, 2, 2, 2, 6, 10, 4, 4, 16, 2, 12, 4, 18, 2, 4, 6, 2, 2, 12, 2, 4, 2, 2, 2, 24, 10, 2, 8, 2, 2, 8, 12, 2, 16, 2, 6, 2, 2, 30, 4, 2, 4, 8, 2, 2, 4, 2, 6, 2, 6, 2, 24, 20, 2, 4, 6, 36, 2, 6, 4, 6

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OFFSET

1,2

COMMENTS

Analogous to A001223 with 2-norm.

a(n) is the square root of the square part of A069482(n).

LINKS

Table of n, a(n) for n=1..70.

FORMULA

Conjectures: (Start)

a(A068361(n)) = A001223(A068361(n)).

a(A068361(n)) = 2 for n>1.

These are the only a(n)=A001223(n).

(End)

a(n) = A000188(A069482(n)). - Michel Marcus, Apr 27 2016

EXAMPLE

sqrt(5)=1*sqrt(5), a(n)=1.

sqrt(16)=4*sqrt(1), a(n)=4.

sqrt(24)=2*sqrt(6), a(n)=2.

MATHEMATICA

Table[Sqrt[Prime[n+1]^2-Prime[n]^2], {n, 1, 100}]/.Sqrt[_]->1

PROG

(PARI) a(n) = my(d=prime(n+1)^2 - prime(n)^2); sqrtint(d/core(d)); \\ Michel Marcus, Apr 27 2016

CROSSREFS

Cf. A000188, A069482

Cf. A001223, A068361.

Sequence in context: A187109 A242599 A092205 * A059853 A136527 A246776

Adjacent sequences: A272098 A272099 A272100 * A272102 A272103 A272104

KEYWORD

nonn

AUTHOR

Benedict W. J. Irwin, Apr 20 2016

STATUS

approved