A058318 Number of energy levels in atoms of the n-th element of the periodic table.

1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7

Offset

1,3

Comments

Run lengths, i.e., how many elements have 1,2,3,4,5,6,7 energy levels, are 2,8,8,18,18,32,26 (see A137583).

Links

Table of n, a(n) for n=1..118.

Y. Bentor, Chemical Elements.Com

M. Winter, WebElements Periodic Table.

Formula

a(n) = m for s(m-1) < n <= s(m) for m=1..7, where s(m) = A173592(m) and s(0) = 0. - Michel Lagneau, Apr 03 2024

Example

For n=79, element 79 (Gold) has a(79)=6 energy levels (which may have 2,8,18,32,18,1 electrons).

Maple

seq(i$[2, 8, 8, 18, 18, 32, 32][i], i=1..7); # Michel Lagneau, Apr 03 2024

Crossrefs

Cf. A007656, A018227, A058317, A137583, A173592.

Sequence in context: A079416 A135664 A261585 * A133878 A132292 A110656

Adjacent sequences: A058315 A058316 A058317 * A058319 A058320 A058321

Keyword

nonn,fini,full

Author

Labos Elemer, Dec 12 2000

Extensions

a(106)-a(118) from Michel Lagneau, Apr 03 2024

Status

approved