A089235 4-symbol sequence with period 96.

0, 1, 2, 3, 0, 3, 1, 0, 2, 3, 2, 1, 0, 3, 1, 3, 2, 1, 2, 0, 1, 3, 1, 2, 0, 2, 3, 0, 1, 0, 2, 0, 3, 1, 2, 3, 2, 0, 1, 0, 3, 2, 1, 3, 1, 0, 3, 0, 2, 3, 1, 3, 0, 1, 2, 1, 3, 2, 0, 3, 0, 1, 3, 2, 3, 0, 2, 1, 2, 3, 1, 0, 1, 2, 0, 3, 2, 3, 1, 2, 1, 0, 2, 1, 3, 0, 3, 2, 0, 2, 1, 0, 1, 3, 0, 2, 0, 1, 2

Offset

0,3

Comments

In each period there are 24 of each of the 4 digits. Properties:

1) No digit is repeated in the sequence. No group of digits is repeated in the sequence.

2) All possible four-digit combinations (taking rule #1 in account) are represented in the forward reading of the sequence.

3) All possible four-digit combinations (taking rule #1 in account) are represented in the backward reading of the sequence.

References

Erik Evenson, posting to sci.math, Jan 09, 2004

Links

Table of n, a(n) for n=0..98.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Sequence in context: A132385 A358840 A191716 * A347794 A317948 A334291

Adjacent sequences: A089232 A089233 A089234 * A089236 A089237 A089238

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 15 2004

Status

approved