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A022911
Arrange the nontrivial binomial coefficients C(m,k) (2 <= k <= m/2) in increasing order (not removing duplicates); record the sequence of m's.
6
4, 5, 6, 6, 7, 8, 7, 9, 10, 11, 8, 12, 8, 13, 9, 14, 15, 16, 10, 9, 17, 18, 11, 19, 20, 21, 10, 12, 22, 10, 23, 24, 13, 25, 26, 11, 27, 14, 28, 29, 30, 15, 11, 31, 12, 32, 33, 16, 34, 35, 36, 37, 17, 38, 13, 39, 40, 12, 18, 41, 42, 43, 12, 44, 19, 45, 14, 46, 47, 48
OFFSET
1,1
COMMENTS
In case of duplicates, the m values are listed in decreasing order. Thus a(18)=16 and a(19)=10 corresponding to binomial(16,2)=binomial(10,3)=120. - Robert Israel, Sep 18 2018
LINKS
Sean A. Irvine, Java program (github)
FORMULA
A319382(n) = binomial(a(n),A022912(n)). - Robert Israel, Sep 18 2018
MAPLE
N:= 10000: # for binomial(n, k) values <= N
Res:= NULL:
for n from 2 while n*(n-1)/2 <= N do
for k from 2 to n/2 do
v:= binomial(n, k);
if v > N then break fi;
Res:= Res, [v, n, k]
od od:
Res:= sort([Res], proc(p, q) if p[1]<>q[1] then p[1]<q[1]
elif p[2]<>q[2] then p[2]>q[2]
fi end proc):
map(t -> t[2], Res); # Robert Israel, Sep 18 2018
CROSSREFS
KEYWORD
nonn
STATUS
approved