A256603 Numbers D such that D^2 = A^3 + B^4 + C^5 has more than one solution in positive integers (A, B, C).

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

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 A350397 A247344

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