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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.
0
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
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
KEYWORD
nonn
AUTHOR
J. M. Bergot, Jul 09 2011
STATUS
approved