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A242184
Integers, a, which are the solutions to the equation a^2 + b^3 = c^4, with integers a, b > 0, and indexed off of A242183.
4
27, 28, 63, 433, 648, 1176, 1728, 1792, 2925, 3807, 4032, 4500, 4785, 4941, 6000, 6083, 6875, 7203, 7452, 7902, 8100, 10000, 10125, 12005, 13328, 14703, 15525, 19683, 20412, 21266, 26775, 27712, 32507, 33750, 35672, 40572, 40797, 41328, 41472, 45927, 49375
OFFSET
1,1
LINKS
FORMULA
a = sqrt(c^4-b^3) is an integer.
EXAMPLE
a(1)=28 since A242183(1)=6 and 6^4 = 28^2 + 8^3.
MATHEMATICA
(* after running the Mmca coding in A242183 *) k = 1; alst = {}; While[k < 6501, If[f@ k != {}, AppendTo[ alst, Table[#1, {1}] & @@@ f[k]]]; k++]; alst // Flatten (* Robert G. Wilson v, May 06 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Lars Blomberg, May 06 2014
STATUS
approved