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A342832 Sums of two distinct odd fourth powers. 1
82, 626, 706, 2402, 2482, 3026, 6562, 6642, 7186, 8962, 14642, 14722, 15266, 17042, 21202, 28562, 28642, 29186, 30962, 35122, 43202, 50626, 50706, 51250, 53026, 57186, 65266, 79186, 83522, 83602, 84146, 85922, 90082, 98162, 112082, 130322, 130402, 130946, 132722 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..39.

EXAMPLE

82 is in the sequence since 82 = 1^4 + 3^4.

626 is in the sequence since 626 = 1^4 + 5^4.

MATHEMATICA

Quiet@Select[Range@60000, !Equal@@(a=First@PowersRepresentations[#, 2, 4])&&And@@OddQ@a&] (* Giorgos Kalogeropoulos, Apr 24 2021 *)

Union[Total/@Subsets[Range[1, 19, 2]^4, {2}]] (* Harvey P. Dale, Jan 24 2022 *)

PROG

(Python)

def aupto(limit):

  ofps = [i**4 for i in range(1, int(limit**.25)+2, 2) if i**4 < limit]

  ss = set(f+g for i, f in enumerate(ofps) for g in ofps[i+1:])

  return sorted(s for s in ss if s <= limit)

print(aupto(132722)) # Michael S. Branicky, Apr 24 2021

CROSSREFS

Cf. A339992 (sums of two distinct odd cubes), A343588.

Sequence in context: A317212 A282773 A182277 * A186688 A002309 A128959

Adjacent sequences:  A342829 A342830 A342831 * A342833 A342834 A342835

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, Apr 20 2021

EXTENSIONS

More terms from Jon E. Schoenfield, Apr 20 2021

STATUS

approved

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Last modified October 2 08:34 EDT 2022. Contains 357191 sequences. (Running on oeis4.)