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Related to Fibonacci numbers.
(Formerly M2970)
4

%I M2970 #25 Jun 18 2019 06:13:45

%S 1,3,14,60,279,1251,5329,21532,83225,310464,1126502,4000602,13973725,

%T 48187521,164535708,557528652,1878067349,6297614277,21043287325,

%U 70125062642,233198372319,774246922848,2567419361916,8505547438596,28157369861593,93162331494255,308108749498202

%N Related to Fibonacci numbers.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H L. Carlitz, <a href="/A006502/a006502.pdf">Some polynomials related to Fibonacci and Eulerian numbers</a>, Fib. Quart., 16 (1978), 217. (Annotated scanned copy)

%H L. Carlitz, <a href="http://www.fq.math.ca/Scanned/16-3/carlitz1.pdf">Some polynomials related to Fibonacci and Eulerian numbers</a>, Fib. Quart., 16 (1978), 216-226.

%F Conjecture: g.f. ( 1-7*x+18*x^2-10*x^3+5*x^4-15*x^5-39*x^6-20*x^7-3*x^8 ) / ( (x^2+3*x-1) *(x^2+2*x-1)^2 *(x^2+x-1)^3 ). - _R. J. Mathar_, Jun 18 2019

%Y A diagonal of triangle in A259708.

%K nonn

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Michel Marcus_, Feb 26 2016