A192743 The numbers n in s=n^2 + (n+1)^2 that satisfy the requirement for two consecutive squares c,d with c<d with d-c being the sum of two consecutive squares that c<s<d will give s-c and d-s both being squares.

10, 21, 41, 59, 61, 328, 348, 543, 626, 946, 1978, 2029, 4268, 4344, 5621, 7386, 9752, 11830, 13793, 14146, 17188, 19206, 20946, 22258, 28004, 31722, 33412, 37141, 45021, 47608, 49298, 53016, 58762, 63832, 65031, 66874, 68951, 76676, 79042, 80056, 80394

Offset

1,1

Links

Table of n, a(n) for n=1..41.

Example

For n=41, s = 2*41^2 + 2*41 +1 = 3445, the sum of two consecutive squares.  With s falling in the interval of two other consecutive squares 58^2<s<59^2 or 3364<3445<3481, one gets squares 36 for 3481-3445 and 81 for 3345-3364.

Crossrefs

Sequence in context: A195142 A256884 A089584 * A280435 A095824 A086225

Adjacent sequences: A192740 A192741 A192742 * A192744 A192745 A192746

Keyword

nonn

Author

J. M. Bergot, Jul 09 2011

Status

approved