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A256603 Numbers D such that D^2 = A^3 + B^4 + C^5 has more than one solution in positive integers (A, B, C). 5
305, 525, 1206, 1257, 1395, 2048, 2213, 3072, 4348, 6400, 16385, 16640, 16704, 20631, 22872, 23256, 30968, 31407, 32769, 62943, 74515, 77713, 77824, 79776, 82565, 84775, 90432, 98739, 117600, 121250, 133696, 163525, 165628, 171576, 198400, 199872, 243225 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A subsequence of A256091. Sequences A256604 and A256652 are the analog for A180241 and A255830.

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..185

EXAMPLE

(A, B, C) = (32, 128, 1): 32^3 + 128^4 + 1^5 = 32768 + 268435456 + 1 = 268468225 = 16385^2

(A, B, C) = (1, 128, 8): 1^3 + 128^4 + 8^5 = 1 + 268435456 + 32768 = 268468225 = 16385^2

so 16385 is a term.

PROG

(PARI) for(D=1, 9999, f=-1; for(C=1, sqrtn(D^2-1, 5), for(B=1, sqrtn(D^2-C^5-.5, 4), ispower(D^2-C^5-B^4, 3)&&f++&print1(D", ")+next(3))))

CROSSREFS

Cf. A180241, A180242, A255830, A256091, A256604, A256613, A256652.

Sequence in context: A221117 A216260 A160577 * A058828 A247344 A220601

Adjacent sequences:  A256600 A256601 A256602 * A256604 A256605 A256606

KEYWORD

nonn

AUTHOR

M. F. Hasler, Apr 06 2015

EXTENSIONS

Inserted a(11),a(16) and added a(19)-a(37) by Lars Blomberg, Apr 17 2015

STATUS

approved

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Last modified June 25 22:27 EDT 2019. Contains 324364 sequences. (Running on oeis4.)