OFFSET
5,2
COMMENTS
For a general discussion, please see A213343.
This a(n) is for quintuple-quantum transitions (q = 5).
It lists the flattened triangle T(5;N,k) with rows N = 5,6,... and columns N, k = 0..floor((N-5)/2).
REFERENCES
See A213343
LINKS
Stanislav Sykora, Table of n, a(n) for n = 5..2356
Stanislav Sykora, T(5;N,k) with rows N=5,..,100 and columns k=0,..,floor((N-5)/2)
Stanislav Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.
FORMULA
Set q = 5 in: T(q;N,k) = 2^(N-q-2*k)*binomial(N,k)*binomial(N-k,q+k).
EXAMPLE
Starting rows of the triangle:
N | k = 0, 1, ..., floor((N-5)/2)
5 | 1
6 | 12
7 | 84 7
8 | 448 112
9 | 2016 1008 36
MATHEMATICA
With[{q = 5}, Table[2^(n - q - 2 k)*Binomial[n, k] Binomial[n - k, q + k], {n, 15}, {k, 0, Floor[(n - q)/2]}]] // Flatten (* Michael De Vlieger, Nov 18 2019 *)
PROG
(PARI) See A213343; set thisq = 5
CROSSREFS
KEYWORD
tabf,nonn
AUTHOR
Stanislav Sykora, Jun 13 2012
STATUS
approved