A Pascal Rhombus
نویسندگان
چکیده
In general, we shall start with one 1 in the first row and three l's in the second row. The recurrence then determines the subsequent rows. The first few rows of the rhombus are given in Figure 2. We assume all blank positions are zero. So, for example, when calculating the second entry in the third row the two zeros are assumed to be up two places and up one and to the left. We call this array of numbers a Pascal rhombus.
منابع مشابه
The density of ones in Pascal's rhombus
Pascal’s rhombus is a variation of Pascal’s triangle in which values are computed as the sum of four terms, rather than two. It is shown that the limiting ratio of the number of ones to the number of zeros in Pascal’s rhombus, taken modulo 2, approaches zero. An asymptotic formula for the number of ones in the rhombus is also shown. c © 1999 Elsevier Science B.V. All rights reserved
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