A271898 Expansion of ( 1+x^2 ) / ( 1-4*x+5*x^2-4*x^3 ).
1, 4, 12, 32, 84, 224, 604, 1632, 4404, 11872, 31996, 86240, 232468, 626656, 1689244, 4553568, 12274676, 33087840, 89192252, 240428512, 648104148, 1747043040, 4709365468, 12694663264, 34219997876, 92244137056, 248655211900, 670280153824, 1806821104020, 4870504494560, 13129033073436
Offset: 0
Links
- Harvey P. Dale, Table of n, a(n) for n = 0..1000
- 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, Section 7.2.1
- Index entries for linear recurrences with constant coefficients, signature (4,-5,4).
Crossrefs
Cf. A000930 (maximum at level n).
Programs
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Mathematica
CoefficientList[Series[(1+x^2)/(1-4*x+5*x^2-4*x^3),{x,0,40}],x] (* or *) LinearRecurrence[{4,-5,4},{1,4,12},40] (* Harvey P. Dale, Apr 20 2016 *) -
PARI
x='x+O('x^99); Vec((1+x^2)/(1-4*x+5*x^2-4*x^3)) \\ Altug Alkan, Apr 16 2016
Comments