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JakubSmigiel (talk | contribs) m Added further values (k=12,13,14) to the table in the "Numerical data" section. Tags: Reverted Visual edit |
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==Numerical data==
As {{mvar|k}} becomes larger, the ratio {{math|{{sfrac|''t<sub>k</sub>''|''s<sub>k</sub>''}}}} approaches [[square root of 2|{{sqrt|2}}]] ≈ {{val|1.41421356}}, and the ratio of successive square triangular numbers approaches {{nowrap|(1 + {{sqrt|2}})<sup>4</sup>}} {{nowrap|{{=}} 17 + 12{{sqrt|2}}}} ≈ {{val|33.970562748}}. The table below shows values of {{mvar|k}} between 0 and
:{| class="wikitable" border="1" style="text-align:right"
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|align=left|{{val|1.41421355}}
|align=left|{{val|33.970562748}}
|-
|}<!-- The table was generated in 23-jul-2016 using a Python script available at http://pastebin.com/sWyesrR8 -->▼
|12
|73 804 512 832 419 600
|271 669 860
|384 199 200
|1.414 213 560 532 626
|33.970 562 748 477
|-
|13
|2 507 180 834 294 496 361
|1 583 407 981
|2 239 277 041
|1.414 213 562 057 320
|33.970 562 748 477
|-
|14
|85 170 343 853 180 456 676
|9 228 778 026
|13 051 463 048
|1.414 213 562 318 917
|33.970 562 748 477
|}<!-- The table was generated programmatically.
▲
The values for following rows were generated on 09-nov-2022 using a Rust program available at https://pastebin.com/2MzYiJdP -->
==See also==
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