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

0,2

Comments

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

Links

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

Formula

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

Example

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.

Prog

(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

Crossrefs

Cf. A000330, A065610, A065611.

Sequence in context: A204071 A089273 A035832 * A088264 A068557 A253024

Adjacent sequences: A065609 A065610 A065611 * A065613 A065614 A065615

Keyword

nonn

Author

Labos Elemer, Nov 07 2001

Status

approved