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A368041 a(n) is the least number k such that k^2 can be written as the difference of two positive squares in exactly n ways. 2

%I #18 Dec 31 2023 00:18:36

%S 1,3,8,16,12,64,128,24,512,1024,48,4096,72,60,32768,65536,192,144,

%T 524288,384,2097152,4194304,120,16777216,432,1536,134217728,576,3072,

%U 1073741824,2147483648,240,1152,17179869184,12288,68719476736,137438953472,360,1728,1099511627776

%N a(n) is the least number k such that k^2 can be written as the difference of two positive squares in exactly n ways.

%C Index of first occurrence of n in A046079.

%F a(n) = min(A122842(n+1), 2*A071571(n)). - _Jon E. Schoenfield_, Dec 09 2023

%e a(2) = 8: 8^2 = 10^2 - 6^2 = 17^2 - 15^2.

%Y Cf. A025487, A046079, A068314, A071571, A094191, A100073, A122842.

%K nonn

%O 0,2

%A _Ilya Gutkovskiy_, Dec 09 2023

%E a(26)-a(29) from _Michel Marcus_, Dec 09 2023

%E a(30)-a(39) from _Jon E. Schoenfield_, Dec 09 2023

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Last modified June 5 10:02 EDT 2024. Contains 373105 sequences. (Running on oeis4.)