Table of unequal sequence

Question

from the following table we have,

Table[i,{i,0,4,1}]

we (0,1,2,3,4)

can we have somehow

(0,2,3,4)

? a formula Table[i-....,{i,....,...}]

Answer 1

If you want to remove specific entries, there are at least 10 ways to do it. One way could be to insert an If inside the table. Something like

Table[If[i == 1, Nothing, i], {i, 0, 4, 1}]

If you want more general approach, need to give a more general problem. Otherwise, this is very specific problem. You could simply also remove the 1 from the output afterwords?

Help on Nothing says

Nothing represents an element of a list that will automatically be
removed.

Answer 2

With the list

list = {0, 1, 2, 3, 4, 2, 9, 2, 10, 1};

you can combine FirstPosition and Delete

Delete[list, FirstPosition[list, _?(# == 2 &)]]

in order to remove only the first time 2 appears

If you use DeleteCases with Infinity as level specification

DeleteCases[list, 2, Infinity]

you'll remove all instances of 2

Answer 3

Using position with Delete:

Delete[Table[i, {i, 0, 4, 1}], {2}]
(*{0, 2, 3, 4}*)

Using element with DeleteElements:

DeleteElements[Table[i, {i, 0, 4, 1}], {1}]
(*{0, 2, 3, 4}*)

Answer 4

A Sow and Reap method:

Reap[{Do[If[i==1,Continue[]];Sow[i], {i,0,4}]}][[2,1]]

(* {0, 2, 3, 4} *) 

And (for example):

Reap[{Do[If[i==1 || i == 5,Continue[]];Sow[i], {i,0,10}]}][[2,1]]

(* {0, 2, 3, 4, 6, 7, 8, 9, 10} *)