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 A278615 Sum of terms in level n of TRIP -  Stern sequence associated with permutation triple (e,13,23). 5
 3, 8, 21, 56, 148, 394, 1044, 2776, 7364, 19568, 51936, 137960, 366256, 972736, 2582736, 6858880, 18212288, 48363680, 128423232, 341027456, 905565760, 2404701952, 6385502208, 16956417664, 45026632448, 119565922304, 317499868416, 843103631360, 2238811202560, 5945037720064, 15786698462208, 41920680589312, 111317928707072 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Georg Fischer, Table of n, a(n) for n = 0..1000 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:1509.05239 [math.CO], 17 Sep 2015. Index entries for linear recurrences with constant coefficients, signature (2,4,-6). FORMULA G.f.: ( 3+2*x-7*x^2 ) / ( 1-2*x-4*x^2+6*x^3 ). - R. J. Mathar, Dec 02 2016 a(n) = A271893(n)+A271894(n)+A271895(n). - R. J. Mathar, Dec 02 2016 MAPLE A278615T := proc(n)     option remember;     local an, nrecur ;     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; A278615 := proc(n)     local a, l;     a := 0 ;     for l from 2^n to 2^(n+1)-1 do         L := A278615T(l) ;         a := a+ L[1]+L[2]+L[3] ;     end do:     a ; end proc: # R. J. Mathar, Dec 02 2016 MATHEMATICA LinearRecurrence[{2, 4, -6}, {3, 8, 21}, 20] (* Jean-François Alcover, Nov 22 2017, after R. J. Mathar's g.f. *) CROSSREFS Cf. A271893, A278612, A278613, A278614, A278616. Sequence in context: A001671 A309226 A278616 * A090413 A128105 A085560 Adjacent sequences:  A278612 A278613 A278614 * A278616 A278617 A278618 KEYWORD nonn AUTHOR Ilya Amburg, Nov 23 2016 EXTENSIONS More terms from R. J. Mathar, Dec 02 2016 STATUS approved

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Last modified August 10 00:21 EDT 2022. Contains 356026 sequences. (Running on oeis4.)