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A271488
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Maximal term of TRIP-Stern sequence of level n corresponding to permutation triple (e,23,e).
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5
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1, 2, 3, 4, 6, 8, 11, 15, 21, 30, 41, 56, 79, 112, 153, 209, 297, 418, 571, 782, 1109
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..20.
I. Amburg, K. Dasaratha, L. Flapan, T. Garrity, C. Lee, C. Mihailak, N. Neumann-Chun, S. Peluse, M. Stoffregen, Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences, arXiv:1509.05239v1 [math.CO] 17 Sep 2015. See Conjecture 5.8.
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MAPLE
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A271488T := proc(n)
option remember;
local an ;
if n = 1 then
[1, 1, 1] ;
else
an := procname(floor(n/2)) ;
if type(n, 'even') then
# apply F0
[op(2, an), op(1, an)+op(3, an), op(3, an)] ;
else
# apply F1
[op(1, an), op(2, an), op(1, an)+op(3, an)] ;
end if;
end if;
end proc:
A271488 := proc(n)
local a, l, nmax;
a := 0 ;
for l from 2^n to 2^(n+1)-1 do
nmax := max( op(A271488T(l)) );
a := max(a, nmax) ;
end do:
a ;
end proc: # R. J. Mathar, Apr 16 2016
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CROSSREFS
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For sequences mentioned in Conjecture 5.8 of Amburg et al. (2015) see A271485, A000930, A271486, A271487, A271488, A164001, A000045, A271489.
Sequence in context: A064323 A003411 A034081 * A289432 A064660 A066806
Adjacent sequences: A271485 A271486 A271487 * A271489 A271490 A271491
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KEYWORD
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nonn,more
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AUTHOR
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N. J. A. Sloane, Apr 13 2016
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STATUS
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approved
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