OFFSET
10,2
COMMENTS
For a general discussion, please see A213343.
This a(n) is for decuple-quantum transitions (q = 10).
It lists the flattened triangle T(10;N,k) with rows N = 10,11,... and columns k = 0..floor((N-10)/2).
REFERENCES
See A213343.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 10..2125
Stanislav Sykora, T(10;N,k) with rows N=10..100 and columns k=0..floor((N-10)/2)
Stanislav Sýkora, Magnetic Resonance on OEIS, Stan's NMR Blog (Dec 31, 2014), Retrieved Nov 12, 2019.
FORMULA
Set q = 10 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-10)/2)
---+-------------------------------
10 | 1
11 | 22
12 | 264 12
13 | 2288 312
14 | 16016 4368 91
MATHEMATICA
With[{q = 10}, Table[2^(n - q - 2 k)*Binomial[n, k] Binomial[n - k, q + k], {n, q, q + 10}, {k, 0, Floor[(n - q)/2]}]] // Flatten (* Michael De Vlieger, Nov 20 2019 *)
PROG
(PARI) See A213343; set thisq = 10
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stanislav Sykora, Jun 13 2012
STATUS
approved