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I am wondering if there is names for numbers with the following characteristics:

  1. Numbers that end with 0.

  2. Numbers divisible by 5.

If there are names for numbers with similar characteristics, I would be happy to learn about them as well. :)

Update:

10, 20, 30, ... is called?

5, 10, 15, 20, 25, 30, ... is called?

Learner
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2 Answers2

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Respectively:

(1) Positive multiples of $10$.

(2) Positive multiples of $5$.

If they satisfy both these properties, then they're positive multiples of $10$.

I don't think there are any other names for them, although they each form an arithmetic progression, which is a sequence of natural numbers. If you want to get really fancy, I suppose you could say, respectively, that they're all the numbers greater than zero that are:

(1) zero modulo $10$

(2) zero modulo $5$.

Shaun
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The pattern $0,10,20,...$ is the:

Number of $3\times n$ binary matrices avoiding simultaneously the right angled numbered polyomino patterns (RANPP) $(00;1),(01,1)$ and $(11;0)$. An occurrence of a RANPP $(xy;z)$ in a matrix $A=(a(i,j))$ is a triple $(a(i_1,j_1)$, $a(i_1,j_2)$, $a(i_2,j_1))$ where $i_1<i_2$, $j_1<j_2$ and these elements are in the same relative order as those in the triple $(x,y,z)$. In general, the number of $m\times n\space 0-1$ matrices in question is given by $(n+2)\cdot2^{m-1}+2m(n-1)-2$ for $m>1$ and $n>1$.

That is from OEIS.

Rocket Man
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