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A273530
Numbers n such that n is the sum of two nonzero squares in exactly one way, n+1 is the sum of a positive square and a positive cube in exactly one way and n+2 is the sum of 2 positive cubes in exactly one way.
0
349, 853, 12634, 42937, 51741, 59912, 97677, 169748, 195137, 199528, 231892, 269728, 337768, 343636, 392272, 403037, 599561, 920456, 1458538, 1521873, 1645873, 1894121, 2337928, 2388697, 3131728, 3159673, 3186349, 3731769, 3835024, 3890248, 4037794
OFFSET
1,1
EXAMPLE
349 is a term because 349 = 5^2 + 18^2, 350 = 15^2 + 5^3, 351 = 2^3 + 7^3.
CROSSREFS
KEYWORD
nonn
AUTHOR
Altug Alkan, May 24 2016
STATUS
approved