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 A032089 "BHK" (reversible, identity, unlabeled) transform of 1,0,1,0...(odds). 2
 1, 0, 1, 1, 2, 3, 5, 9, 14, 25, 39, 68, 107, 182, 289, 483, 772, 1275, 2047, 3355, 5402, 8811, 14213, 23112, 37325, 60580, 97905, 158717, 256622, 415715, 672337, 1088661, 1760998, 2850645, 4611643, 7463884, 12075527, 19541994 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..1000 C. G. Bower, Transforms (2) Index entries for linear recurrences with constant coefficients, signature (1,3,-2,-2,0,-1,1,1). FORMULA G.f.: x*(1-x-2*x^2+2*x^3+x^6)/((1-x)*(1+x)*(1-x-x^2)*(1-x^2-x^4)). a(n) = a(n-1) + 3*a(n-2) - 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) + a(n-8) for n > 8. - Andrew Howroyd, Aug 31 2018 2*a(n) = 2*A000035(n) + A000045(n) - A053602(n). - R. J. Mathar, Mar 02 2022 PROG (PARI) Vec((1-x-2*x^2+2*x^3+x^6)/((1-x)*(1+x)*(1-x-x^2)*(1-x^2-x^4)) + O(x^40)) \\ Andrew Howroyd, Aug 31 2018 CROSSREFS Sequence in context: A291896 A018155 A227375 * A352079 A105044 A026008 Adjacent sequences: A032086 A032087 A032088 * A032090 A032091 A032092 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified February 7 12:58 EST 2023. Contains 360123 sequences. (Running on oeis4.)