A082210 Square root of the squares arising in A082209.

1, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248, 71, 4, 8, 7, 31, 248

Offset

1,2

Comments

The squares are given in A090567. - M. F. Hasler, Nov 24 2015

Links

Table of n, a(n) for n=1..78.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 1).

Formula

a(n) = {A082209(n) concatenated with A082209(n+1)}^(1/2).

Periodic with period 6 from n=2 onward. - Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

a(n) = sqrt(A090567(n)) with A090567(n) = A082209(n) concat A243091(A082209(n)). - M. F. Hasler, Nov 24 2015

Example

a(3) = 31 = 961^(1/2) where A082209(3) = 9 and A082209(4) = 61.

Mathematica

Join[{1}, LinearRecurrence[{0, 0, 0, 0, 0, 1}, {4, 8, 7, 31, 248, 71}, 77]] (* Ray Chandler, Aug 26 2015 *)

Prog

(PARI) A082210(n)=n<2||return([248, 71, 4, 8, 7, 31][n%6+1]) \\ M. F. Hasler, Nov 24 2015

Crossrefs

Cf. A082209.

Sequence in context: A309665 A196205 A196141 * A196282 A196332 A245654

Adjacent sequences: A082207 A082208 A082209 * A082211 A082212 A082213

Keyword

base,nonn

Author

Amarnath Murthy, Apr 10 2003

Extensions

Corrected and extended by Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

Definition corrected and minor edits by M. F. Hasler, Nov 24 2015

Status

approved