A320283 - OEIS

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A320283

Lexicographical ordering of pure imaginary integers in the base (-1+i) numeral system.

0, 1, -2, -1, -4, -3, -6, -5, 8, 9, 6, 7, 4, 5, 2, 3, 16, 17, 14, 15, 12, 13, 10, 11, 24, 25, 22, 23, 20, 21, 18, 19, -32, -31, -34, -33, -36, -35, -38, -37, -24, -23, -26, -25, -28, -27, -30, -29, -16, -15, -18, -17, -20, -19, -22, -21, -8, -7, -10, -9, -12, -11, -14, -13, -64, -63, -66, -65, -68, -67, -70, -69

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OFFSET

0,3

COMMENTS

For ordering of pure real integers in same system see A073791.

All integers appear in this sequence.

LINKS

Andrey Zabolotskiy, Table of n, a(n) for n = 0..8191 (terms up to 255 from Andreas K. Badea)

Solomon I. Khmelnik, Specialized Digital Computer for Operations with Complex Numbers, Questions of Radio Electronics, 12 (1964), 60-82 [in Russian].

W. J. Penney, A "binary" system for complex numbers, NSA Technical Journal, Vol. X, No. 2 (1965), 13-15.

W. J. Penney, A "binary" system for complex numbers, JACM 12 (1965), 247-248.

FORMULA