A193244 Numbers that are the sum of three biquadrates (fourth powers) in more than one way.

16562, 28593, 35378, 43218, 54977, 94178, 106353, 122018, 134162, 137633, 149058, 181202, 195122, 198497, 235298, 235553, 264113, 264992, 300833, 318402, 324818, 364658, 384833, 439922, 457488, 462722, 514098, 522242, 566048, 611618, 624962

Offset: 1

Author

M. F. Hasler, Jan 01 2013

Keywords

• nonn

Comments

Erroneous version of A309762. - Ilya Gutkovskiy, Aug 15 2019

A subsequence of A003337. Lists the indices such that A193243(n) > 1.

Examples

			a(1) = 16562 = 1^4 + 9^4 + 10^4 = 5^4 + 6^4 + 11^4, and this is the least number having two such decompositions.
		

Crossrefs

Cf. A003337, A193243, A047714, A085559, A122540, A123075.

Programs

PARI

is_A000404(n)={ for( i=1, #n=factor(n)~%4, n[1, i]==3 & n[2, i]%2 & return); n & ( vecmin(n[1, ])==1 || (n[1, 1]==2 & n[2, 1]%2))} \\ M. F. Hasler, Feb 07 2009

PARI

for(n=1,9e9, is_A000404(n) && A193243(n)>1 && print1(n","))