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Rightmost border of triangle A127714: a(n) = A127714(n, (n+1)*(n+2)/2 - 1).
10

%I #17 Feb 15 2022 02:46:16

%S 1,1,3,14,86,645,5662,56632,633545,7820115,105401961,1538517351,

%T 24157841308,405778641302,7256711524298,137607733327779,

%U 2757147167433326,58188668578629283,1289965088962987961

%N Rightmost border of triangle A127714: a(n) = A127714(n, (n+1)*(n+2)/2 - 1).

%H Paul D. Hanna, <a href="/A127715/b127715.txt">Table of n, a(n), n = 0..100</a>.

%F From _Gary W. Adamson_, Aug 02 2011: (Start)

%F a(n) = upper left term of M^n, M is an infinite square production matrix in which nonzero terms = A033184 with the first "1" deleted, as follows: M =

%F 1, 1, 0, 0, 0, 0, ...

%F 2, 2, 1, 0, 0, 0, ...

%F 5, 5, 3, 1, 0, 0, ...

%F 14, 14, 9, 4, 1, 0, ...

%F 42, 42, 28, 14, 5, 1, ...

%F ... (End)

%e a(3) = 14 = the upper left term of M^3.

%Y Cf. A127714, A127716, A033184

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jan 24 2007