#..... | Number | Divided by 36 Harmonic | N*Wad/54 | Sub-harmonic /36/2**2 | |

1 | 1 | 0.027777777777777776 | 5 | 0.006944444444444444 | "Harmonic for each electron"- Cathie. |

2 | 7 | 0.19444444444444445 | 35 | ||

3 | 19 | 0.5277777777777778 | 95 | ||

4 | 37 | 1.0277777777777777 | 185 | 0.2569444444444444 | |

5 | 61 | 1.6944444444444444 | 305 | Cathie harmonic of proton or electron. Or something about "Wavelength and Kinetic Energy" described below. Light wavelength 238 nm* | |

6 | 91 | 2.5277777777777777 | 455 | ||

7 | 127 | 3.5277777777777777 | 635 | ||

8 | 169 | 4.694444444444445 | 845 | ||

9 | 217 | 6.027777777777778 | 1085 | 1.5069444444444444 | |

10 | 271 | 7.527777777777778 | 1355 | ||

11 | 331 | 9.194444444444445 | 1655 | ||

12 | 397 | 11.027777777777779 | 1985 | 2.756944444444444 | |

13 | 469 | 13.027777777777779 | 2345 | 3.256944444444444 | |

14 | 547 | 15.194444444444445 | 2735 | ||

15 | 631 | 17.52777777777778 | 3155 | ||

16 | 721 | 20.02777777777778 | 3605 | 5.00694444444444 | |

17 | 817 | 22.694444444444443 | 4085 | ||

18 | 919 | 25.52777777777778 | 4595 | ||

19 | 1027 | 28.52777777777778 | 5135 | ||

20 | 1141 | 31.694444444444443 | 5705 |

- As we can see numbers that look like harmonics appear regularity. These form "Centered Hexagonal Numbers"
(WIKI).
..and the pattern above probably continues on and on.., and there is a system in the sequence...they appear
after #17 except #8...and a list to #1000 is here.

- The formula for the last column is either N*(Wadsworth Constant)/54 or as oeis.org suggested 15*x^2 − 15*x + 5. W|A describe something as 1/180*(180*x+125) though.

- The 4th column divided by the centered hexagonal number has a 1:5 ratio.

We find on google: "When light with a wavelength of 238 nm is incident on a certain metal surface, electrons are ejected with a maximum kinetic energy of 3.37 10-19 J. Determine the wavelength of light that should be used to double the maximum kinetic energy of the electrons ejected from this surface."

Answer:"ke = E - we = hc/L - we = 3.37E-19 J; where L = 238E-9 m. Find the work function we = hc/L - ke = 6.63E-34*299E6/238E-9 - 3.37E-19 = 4.95929E-19 J.

Then E = we + 2*ke = hc/L; so that L = hc/(we + 2ke) = 6.63E-34 * 299E6/(4.95929E-19 + 2*3.37E-19) = 1.69444E-07 m (169 nm) ANS.

238 nm is an invisible wavelength of light. We did some math-trick on this 238/61 → 3.901639344262295 * 305 → 1190 / 328 = 5. Does this indicate that this wavelength of light has some affinity with this table? Trick unfortunately. But we do have trapped a 39...value here, also 1190 whatever that is.

If we try to find wavelength 438 in relation to 1190 we get 238/96≃2.5053 as x for 438*x=1190. 238 again.... could be something or co-incidence.

**Percolation Threshold and previous integrals from
(sqrt(((n/3)*(n*5)/2)*2.9))/n.**

We computed all of the integers from integration of the above formula and most matched something like in the title in the wolfram mathematica
notebook here.

There are some stuff not included here.

1.55456 | Pc (diamond bond) + 7/6 | Exact value |

3.10913 | 2pc (diamond bond) + 7/3 | Exact Value |

4.66369 | (8Pc(simple cubic bond)/3)+4 | 4.66346666 |

6.21825 | (7pc(Honeycomb site)/4)+5 | Exact value |

7.77282 | (30Pc(BCC Bond)/7)+7 | 7.77271428 |

9.32738 | 24Pc(BCC BOND)+5 | Exact Value |

10.8819 | 10Pc(Diamond Bond)+7, 20Pc(6D Bond)+9 | Exact and 10.8840000 |

12.4365 | Pc(diamond site)+12 | 12.4300000 |

13.9911 | nothing | |

15.5456 | nothing |

Index.