1,1

Sequence gives solutions n to the Diophantine equation A^4 + B^4 + C^4 + D^4 = n^4.

Is this sequence the same as A096739? - David Wasserman (dwasserm(AT)earthlink.net), Nov 16 2007

A138760 (numbers n such that n^4 is a sum of 4th powers of four nonzero integers whose sum is n) is a subsequence. - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Apr 06 2008

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Simcha Brudno, A further example of A^4 + B^4 + C^4 + D^4 = E^4, Proc. Camb. Phil. Soc. 60 (1964) 1027-1028.

Lee W. Jacobi and Daniel J. Madden, On a^4 + b^4 + c^4 + d^4 = (a+b+c+d)^4, Amer. Math. Monthly 115 (2008) 220-236.

K. Rose and S. Brudno, More about four biquadrates equal one biquadrate, Math. Comp., 27 (1973), 491-494.

D. Wells, Curious and interesting numbers, Penguin Books, p. 139.

T. D. Noe, Table of n, a(n) for n=1..4870 (using Wroblewski's results)

Lee W. Jacobi and Daniel J. Madden, On a^4 + b^4 + c^4 + d^4 = (a+b+c+d)^4

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Jaroslaw Wroblewski, Exhaustive list of 1009 solutions to (4,1,4) below 222,000

353^4 = 30^4 + 120^4 + 272^4 + 315^4.

651^4 = 240^4 + 340^4 + 430^4 + 599^4.

2487^4 = 435^4 + 710^4 + 1384^4 + 2420^4.

2501^4 = 1130^4 + 1190^4 + 1432^4 + 2365^4.

2829^4 = 850^4 + 1010^4 + 1546^4 + 2745^4.

Cf. A039664, A096739.

Cf. also A138760.

Sequence in context: A145023 A058375 A059635 this_sequence A096739 A039664 A054825

Adjacent sequences: A003291 A003292 A003293 this_sequence A003295 A003296 A003297

nonn,nice

N. J. A. Sloane (njas(AT)research.att.com).

Corrected and extended by Don Reble (djr(AT)nk.ca), Jul 07 2007

More terms from David Wasserman (dwasserm(AT)earthlink.net), Nov 16 2007

Definition clarified by Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Apr 06 2008