OFFSET
1,1
COMMENTS
Sequence extrapolated to a(1) using recurrence. - Andrew Howroyd, Dec 27 2017
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..200
Eric Weisstein's World of Mathematics, Crossed Prism Graph
Eric Weisstein's World of Mathematics, Edge Cover
Index entries for linear recurrences with constant coefficients, signature (43, -75, 12).
FORMULA
From Andrew Howroyd, Dec 27 2017: (Start)
a(n) = 43*a(n-1) - 75*a(n-2) + 12*a(n-3).
G.f.: x*(43 - 150*x + 36*x^2)/(1 - 43*x + 75*x^2 - 12*x^3).
(End)
MATHEMATICA
Table[RootSum[-12 + 75 # - 43 #^2 + #^3 &, #^n &], {n, 20}]
RootSum[-12 + 75 # - 43 #^2 + #^3 &, #^Range[20] &]
LinearRecurrence[{43, -75, 12}, {43, 1699, 69868}, 20]
CoefficientList[Series[(-43 + 150 x - 36 x^2)/(-1 + 43 x - 75 x^2 + 12 x^3), {x, 0, 20}], x]
PROG
(PARI) Vec((43 - 150*x + 36*x^2)/(1 - 43*x + 75*x^2 - 12*x^3) + O(x^20)) \\ Andrew Howroyd, Dec 27 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Dec 24 2017
EXTENSIONS
a(1) and terms a(5) and beyond from Andrew Howroyd, Dec 27 2017
STATUS
approved