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User: Max Alweiss

Max Alweiss has authored 2 sequences.

A249947 Number of available orbitals at increasing subshells in multi-electron atoms.

1, 1, 3, 1, 3, 1, 5, 3, 1, 5, 3, 1, 7, 5, 3, 1, 7, 5, 3

Offset: 1

Max Alweiss, Nov 08 2014

Follows electron configuration in a multi-electron atom, which is: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p. Each s subshell holds 1 orbital, each p holds 3 orbitals, each d holds 5 orbitals, and each f holds 7 orbitals.

Theoretically, the integers follow the pattern infinitely, but (conjecturally) the subshells stop after 7p, with 8s not existing as predicted.

			1s
2s 2p
3s 3p 3d
4s 4p 4d 4f
5s 5p 5d 5f
6s 6p 6d
7s 7p
(8s)
Read antidiagonals.

ChemWiki, Electron configurations
ChemWiki, Quantum numbers

Cf. A167268.

A249945 a(n) = n! + 3^n.

Original entry on oeis.org

2, 4, 11, 33, 105, 363, 1449, 7227, 46881, 382563, 3687849, 40093947, 479533041, 6228615123, 87183074169, 1307688716907, 20922832934721, 355687557236163, 6402374093148489, 121645101571093467, 2432902011663424401, 51090942182169793203, 1124000727808988739609

Offset: 0

Max Alweiss, Nov 08 2014

Cf. A000142, A000244, A007611.

[3^n+Factorial(n) : n in [0..25]]; // Wesley Ivan Hurt, Nov 14 2014

A249945:=n->3^n+n!: seq(A249945(n), n=0..25); # Wesley Ivan Hurt, Nov 14 2014

Table[3^n + n!, {n, 20}] (* Alonso del Arte, Nov 09 2014 *)

vector(10,n,3^n + n!) \\ Derek Orr, Nov 14 2014

a(n) = n! + 3^n.
a(n) = A000142(n) + A000244(n).
E.g.f.: 1/(1-x) + exp(3*x). - Alois P. Heinz, Aug 29 2022

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User: Max Alweiss

A249947 Number of available orbitals at increasing subshells in multi-electron atoms.

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A249945 a(n) = n! + 3^n.

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