A228875 Pairs of Pythagorean numbers differing by 6.

24, 30, 54, 60, 210, 216, 330, 336, 480, 486, 540, 546, 720, 726, 750, 756, 1344, 1350, 1710, 1716, 2160, 2166, 8664, 8670, 8970, 8976, 10080, 10086, 10290, 10296, 12144, 12150, 15600, 15606, 18144, 18150, 24570, 24576, 28560, 28566, 30240, 30246, 34650, 34656

Offset

1,1

Comments

These are pairs of terms of A009111 differing by 6 -- the least amount possible. Mohanty and Mohanty call these twin Pythagorean numbers. In Theorem 9, they prove that there are an infinite number of these numbers.

Links

Table of n, a(n) for n=1..44.

Supriya Mohanty and S. P. Mohanty, Pythagorean Numbers, Fibonacci Quarterly 28 (1990), 31-42.

Crossrefs

Cf. A009111 (Pythagorean numbers).

Cf. A228876, A228877 (upper and lower Pythagorean twins).

Sequence in context: A141545 A106682 A334790 * A175258 A372991 A333122

Adjacent sequences: A228872 A228873 A228874 * A228876 A228877 A228878

Keyword

nonn

Author

T. D. Noe, Sep 24 2013

Status

approved