A076215 Square root of sum defined in A007475(n) and A001032(n).

1, 5, 77, 92, 70, 195, 143, 3854, 357, 245, 413, 4088, 2257, 2222, 652, 679, 278949, 3366, 1281, 67963, 1612, 8555, 1518, 63412, 1159158, 2619, 2725, 13862, 60973, 3069, 10790, 3128, 4620, 5083, 42918, 3406

Offset: 1

Author

Ralf Stephan, Nov 03 2002

Keywords

• nonn

Comments

6a(n)^2 is divisible by A001032(n). Proof: Let s = A007475(n), n = A001032(n), then a(n)^2 = sum(k=s, s+n-1, k^2) = n/6*(2n^2+(6s-3)n+6s^2-6s+1).

Examples

			A001032(3)=11, A007475(3)=18, so 18^2+19^2+...+28^2 (11 terms) = 77^2.
		

Links

• Christopher E. Thompson, Table of n, a(n) for n = 1..10438

Crossrefs

Cf. A001032, A007475.

Extensions

Offset corrected to 1 (to match A001032) by M. F. Hasler, Feb 02 2016