OFFSET
1,1
COMMENTS
Numbers B such that the centered cube number B^3 + (B+1)^3 is equal to at least two other sums of two cubes, i.e., A = B^3 + (B+1)^3 = C^3 + D^3 = E^3 + F^3 with C <> (D +- 1), E <> (F +- 1), E > C > B, C > |D| and E > |F|, where A = A352220(n), B = a(n) (this sequence), C = A352222(n), D = A352223(n), E = A352224(n) and F = A352225(n).
Subsequence of A352134.
LINKS
A. Grinstein, Ramanujan and 1729, University of Melbourne Dept. of Math and Statistics Newsletter: Issue 3, 1998.
Eric Weisstein's World of Mathematics, Centered Cube Number
FORMULA
EXAMPLE
121 is a term because 121^3 + 122^3 = 153^3 + 18^3 = 369^3 + (-360)^3 = 3587409.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Vladimir Pletser, Mar 07 2022
EXTENSIONS
a(6)-a(20) from Jon E. Schoenfield, Mar 10 2022
a(21) from Chai Wah Wu, Mar 17 2022
a(22) from Bert Dobbelaere, Apr 18 2022
STATUS
approved