Catalan numbers: Difference between revisions

<h3>1) catalan1</h3>

{S.map catalan1 {S.serie 1 15}}

-> 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845

</syntaxhighlight>

<h3>2) catalan2</h3>

<syntaxhighlight lang="scheme">

{S.map catalan2 {S.serie 0 15}}

-> 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845

</syntaxhighlight>

<h3>3) catalan3</h3>

<syntaxhighlight lang="scheme">

-> 1 1 2 5 14 42 132 429 1430 4862 16796 58786 208012 742900 2674440 9694845

</syntaxhighlight>

<h3>4) Alternative for a vertical diplay</h3>

<syntaxhighlight lang="scheme">

{style

td { text-align:right;

font-family:monospace;

}

}

{table

{tr {td} {td cat1} {td cat2} {td cat3}}

{S.map {lambda {:i} {tr {td :i}

{td {catalan1 :i}}

{td {catalan2 :i}}

{td {catalan3 :i}}}}

{S.serie 0 15}}

}

cat1 cat2 cat3

0 1 1 1

1 1 1 1

2 2 2 2

3 5 5 5

4 14 14 14

5 42 42 42

6 132 132 132

7 429 429 429

8 1430 1430 1430

9 4862 4862 4862

10 16796 16796 16796

11 58786 58786 58786

12 208012 208012 208012

13 742900 742900 742900

14 2674440 2674440 2674440

15 9694845 9694845 9694845