A065612 Square roots of terms in A065611.

1, 189, 3, 8, 12276, 39, 41454, 62, 43, 30, 47, 689, 23, 342, 20, 647955, 786384, 60, 433, 1316871, 104, 41, 2358, 45, 31, 38, 31, 28, 203, 4682601, 5183910, 736, 53, 38012, 36, 8231895, 41, 9725265, 123, 11389131, 205, 50, 302, 102, 61, 46, 49, 108

Offset: 0

Author

Labos Elemer, Nov 07 2001

Keywords

• nonn

Comments

Square root of n^2 + [a special shortest square-sum] which is also square.

Examples

			n = 10: a(10) = sqrt(100 + A000330(A065610(10))) = sqrt(100 + (1 + 4 + ... + 18^2)) = sqrt(100 + (18*19*37/6)) = sqrt(100 + 2109) = 47.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..500

Crossrefs

Cf. A000330, A065610, A065611.

Programs

PARI

{ for (n = 0, 500, s=n^2 + 1; k=1; while (!issquare(s), k++; s+=k^2); write("b065612.txt", n, " ", sqrtint(s)) ) } \\ Harry J. Smith, Oct 24 2009

Formula

a(n) = sqrt(A065611(n)) = sqrt(n^2 + A000330(A065610(n))).