# Syntax of integer lists

Integer lists consist of a sequence of strings separated by commas:

strn1,strn2,...

Each of the *strn1*, *strn2*, … can assume one of the following three forms:

a single integer or algebraic expression

two integer expressions separated by a colon,

*viz*`low:high`

gets expanded into

`low, low+1, low+2, ... high`

Three integer expressions separated by colons,

*viz*`low:high:step`

gets expanded into:

`low, low+step, low+2*step, ... high`

(Extension, not always applicable). The

**dup**tag:`dup=#`

duplicates the entire list to this point, and

**#**is added to the duplicate elements. The list up to the current point doubles in size.**dup**can appear anywhere in the list.(Extension, not always applicable). The

**seq**tag`seq=#`

can be appended to the list.

**seq=#**replicates the existing list, shifting each element in the new list by a constant that makes the first element**#**. The size of the list doubles.**#**itself can a single number or an integer list. If it is a list of*n*elements, the original list is replicated*n*times.

Each replication is shifted by a constant so that the first element is the current element in**#**. The final list is then*n*+1 - fold larger in size than the original list.

*Examples*

5+1 becomes a single number, 6. 5+1:8+2 becomes a sequence of numbers, 6 7 8 9 10 5+1:8+2:2 becomes a sequence of numbers, 6 8 10 1:4,7:11 becomes the sequence 1 2 3 4 7 8 9 10 11 5,6,dup=16,8 becomes the sequence 5 6 21 22 8 5,6,8,seq=9 becomes the sequence 5 6 8 14 15 17 7:9:2,seq=9,18 becomes the sequence 7 9 16 18 25 27

*Note:* **slatsm/mkilst.f** contains the source code for generating integer lists.

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