Some kind of series from the Centered Hexagonal Numbers, divided by six each.

#.....	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	Seem this would be 128 as in S.R.
8	169	4.694444444444445	845	And Perhaps related to the Electromagnetic.(unlikely)
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.

A long-shot.

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.