A062681 Numbers that are sums of 2 or more consecutive squares in more than 1 way.

365, 1405, 1730, 2030, 3281, 3655, 3740, 4510, 4705, 4760, 5244, 5434, 5915, 7230, 7574, 8415, 9385, 11055, 11900, 12325, 12524, 14905, 16745, 17484, 18879, 19005, 19855, 20449, 20510, 21790, 22806, 23681, 25580, 25585, 27230, 27420, 28985

Offset

1,1

Comments

A subsequence of A174069; A111044 is the subsequence of numbers allowing at least 3 representations of the given form. - M. F. Hasler, Dec 23 2013

Links

David W. Wilson, Table of n, a(n) for n = 1..10000

G. Campbell et al., Sums of consecutive squares in two or more ways, discussion in Number Theory group on LinkedIn, Dec 2013

Example

365 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2.

Prog

(PARI) {N=200; A174069=[]; A062681=[]; for(i=2, N, for(k=1, i-1, setsearch(A174069, t=sum(j=i-k, i, j^2))&&(A062681=setunion(A062681, Set(t)))&&next; t>N^2*2&&break; A174069=setunion(A174069, Set(t)))); A062681} \\ M. F. Hasler, Dec 22 2013

Crossrefs

Cf. A174069, A111044.

Sequence in context: A033173 A043443 A275271 * A259948 A203806 A251314

Adjacent sequences: A062678 A062679 A062680 * A062682 A062683 A062684

Keyword

easy,nonn

Author

Erich Friedman, Jul 04 2001

Status

approved