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

Author

Amarnath Murthy, Apr 10 2003

Keywords

• base
• nonn

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A082209.

Programs

Mathematica

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

PARI

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

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

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