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A242185 Integers b which are the solution to the equation a^2 + b^3 = c^4, with integers a, b > 0, and indexed from A242183. 4
8, 18, 23, 36, 49, 108, 108, 126, 128, 135, 136, 143, 216, 225, 245, 288, 288, 300, 343, 368, 375, 400, 450, 500, 576, 588, 600, 648, 686, 693, 784, 900, 1026, 1098, 1125, 1156, 1183, 1215, 1350, 1350, 1440, 1458, 1568, 1628, 1638, 1681, 1728, 1728, 1863, 2000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Lars Blomberg, Table of n, a(n) for n = 1..2241

FORMULA

b = (c^4 - a^2)^(1/3) is an integer.

EXAMPLE

a(1)=8 since A242183(1)=6 and 6^4 = 28^2 + 8^3.

MATHEMATICA

(* after running the Mmca coding in A242183 *) k = 1; blst = {}; While[k < 6501, If[f@ k != {}, AppendTo[ blst, Table[#2, {1}] & @@@ f[k]]]; k++]; blst // Flatten (* Robert G. Wilson v, May 06 2014 *)

CROSSREFS

Cf. A242183, A242184, A242186.

Sequence in context: A279688 A178180 A269311 * A273527 A051810 A034055

Adjacent sequences:  A242182 A242183 A242184 * A242186 A242187 A242188

KEYWORD

nonn

AUTHOR

Lars Blomberg, May 06 2014

STATUS

approved

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Last modified December 5 03:52 EST 2021. Contains 349530 sequences. (Running on oeis4.)