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A271486 Maximal term of TRIP-Stern sequence of level n corresponding to permutation triple (e,13,23). 8
1, 2, 3, 4, 6, 8, 11, 16, 22, 30, 43, 60, 82, 113, 162, 224, 306, 435, 610, 836, 1168, 1637, 2282, 3120, 4399, 6131, 8522, 11812, 16561, 22933, 31810, 44468, 62335, 85639, 119452, 167281, 233169, 320747, 449700, 626513, 872175 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..40.

Ilya Amburg, Krishna Dasaratha, Laure Flapan, Thomas Garrity, Chansoo Lee, Cornelia Mihaila, Nicholas Neumann-Chun, Sarah Peluse, Matthew Stoffregen, Stern Sequences for a Family of Multidimensional Continued Fractions: TRIP-Stern Sequences, arXiv:1509.05239 [math.CO], 2015.

MAPLE

A271486T := 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(1, an)+op(3, an), op(3, an), op(2, an)] ;

        else

            # apply F1

            [op(1, an), op(1, an)+op(3, an), op(2, an)] ;

        end if;

    end if;

end proc:

A271486 := proc(n)

    local a, l, nmax;

    a := 0 ;

    for l from 2^n to 2^(n+1)-1 do

        nmax := max( op(A271486T(l)) );

        a := max(a, nmax) ;

    end do:

    a ;

end proc: # R. J. Mathar, Apr 16 2016

MATHEMATICA

A271487T[n_] := A271487T[n] = Module[{an}, If[n == 1, {1, 1, 1}, an = A271487T[Floor[n/2]]; If[EvenQ[n], {an[[1]] + an[[3]], an[[3]], an[[2]]}, {an[[1]], an[[1]] + an[[3]], an[[2]]}]]];

a[n_] := a[n] = Module[{a = 0, l, nMax}, For[l = 2^n, l <= 2^(n + 1) - 1, l++, nMax = Max[A271487T[l]]; a = Max[a, nMax]]; a];

Table[Print["a(", n, ") = ", a[n]]; a[n], {n, 0, 19}] (* Jean-Fran├žois Alcover, Nov 17 2017, after R. J. Mathar *)

CROSSREFS

For sequences mentioned in Conjecture 5.8 of Amburg et al. (2015) see A271485, A000930, A271486, A271487, A271488, A164001, A000045, A271489.

Sequence in context: A321359 A321567 A066806 * A226187 A294922 A317669

Adjacent sequences:  A271483 A271484 A271485 * A271487 A271488 A271489

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Apr 13 2016

EXTENSIONS

a(20)-a(40) from Lars Blomberg, Jan 08 2018

STATUS

approved

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Last modified March 21 18:59 EDT 2019. Contains 321382 sequences. (Running on oeis4.)