Possible Permutations With Mod

[Leroy Quet]

The following is an analogue to the OEIS seq whose database is the
periodic table, A070217 Numbers not represented by a known atomic
weight.

2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 19, 20, 21, 24, 25, 36,
37, 40, 41, 42, 49, 52, 53, 56, 64, 66, 69, 70, 82, 91, 95, 98, 99,
...

See also:

"Hopeful Abstracts and Extra Motivation"
thread of Uncertain Principles science blog
http://scienceblogs.com/principles/2007/02/hopeful_abstracts_and_extra_mo.php

Dark Bands in the Human Spectrum
by
Jonathan Vos Post
1 Feb 2007

What is the human body made of? An odd way to answer
this is with the inverse question: What is the human
body NOT made of? I can give an answer in the
following sense: for what natural numbers (i.e.
positive integers) is there no ion or molecule found
in significant quantities in a human being, which has
that number as the average atomic or molecular weight,
rounded down?

Humans have lots of water, and thus lots of hydrogen
atoms and hydrogen ions, both of whose molecular
weights (1.00783) round down to the integer 1.  HEavy
water (Deuterium oxide) has already been figured in by
our using an average molecular weight, which this
considers both protium (hydrogen with no neutron) and
deuterium (hydrogen with a neutron, molecular weight
averaged down to 2). There is not going to be a
measurable amount of radioactive tritium (hydrogen
with two neutrons) whose atomic weight rounds down to
3. The human body has essentially no helium (atomic
weight rounded down to 3 for the rare light isotope,
rounded down to 4 for the rare light isotope). The
human body, assuming this is not a person taking
lithium as treatment for depression, has nothing of
molecular weight 5, 6, or 7.  Beryllium is rare, and a
poison. So there is a gap in the average molecular
weight mass spectrum of a human which is covered by
the integers 2 through 10. There should be no atomic
carbon in a human body, not counting gunshot residue
or charcoal from grilling or sketching, hence no 12 or
13. Carbon is in humans, but bound up in organic
molecules.

In summary, the integers representing mass gaps in the
human spectrum include: 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15,
19, 20, 21, 24, 25, 36, 37, 40, 41, 42, 49, 52, 53, 56, 64, 66, 69,
70, 82, 91, 95, 98, 99.

We'll look higher, but these "dark bands" will become
rare...

Source of data: the Human Metabolome Data Base