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 A123357 Kekulé numbers for certain benzenoids (see the Cyvin-Gutman book for details). 2
 1, 6, 40, 272, 1856, 12672, 86528, 590848, 4034560, 27549696, 188121088, 1284571136, 8771600384, 59896233984, 408997068800, 2792806678528, 19070476877824, 130221361594368, 889207077732352, 6071885729103872, 41461429210972160, 283116347854946304, 1933239349151793152 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS S. J. Cyvin and I. Gutman, Kekulé structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (see p. 210, formula page 204). Index entries for linear recurrences with constant coefficients, signature (8,-8). FORMULA G.f.: -(2*x-1) / (8*x^2-8*x+1). - Colin Barker, Aug 29 2013 a(n) = A057084(n)-2*A057084(n-1). - R. J. Mathar, Jul 26 2019 MAPLE A123357 := proc(n)     option remember;     if n <= 1 then         op(n+1, [1, 6]) ;     else         8*(procname(n-1)-procname(n-2)) ;     end if end proc: seq( A123357(n), n=0..30) ; # R. J. Mathar, Jul 26 2019 MATHEMATICA LinearRecurrence[{8, -8}, {1, 6}, 30] (* Jean-François Alcover, Apr 03 2020 *) CROSSREFS Sequence in context: A122074 A289208 A244253 * A081016 A083426 A122471 Adjacent sequences:  A123354 A123355 A123356 * A123358 A123359 A123360 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Oct 10 2006 STATUS approved

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Last modified May 26 15:50 EDT 2020. Contains 334626 sequences. (Running on oeis4.)