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 A088209 Numerators of convergents of the continued fraction with the n+1 partial quotients: [1;1,1,...(n 1's)...,1,n+1], starting with [1], [1;2], [1;1,3], [1;1,1,4], ... 5
 1, 3, 7, 14, 28, 53, 99, 181, 327, 584, 1034, 1817, 3173, 5511, 9527, 16402, 28136, 48109, 82023, 139481, 236631, 400588, 676822, 1141489, 1921993, 3231243, 5424679, 9095126, 15230452, 25475429, 42566379, 71052157, 118489383 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Denominators form the Les Marvin sequence: A007502(n+1). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..1000 FORMULA G.f.: (1-x-x^3)/(1-x-x^2)^2. a(n)=Fib(n)+(n+1)Fib(n+1). - Paul Barry, Apr 20 2004 EXAMPLE a(3)/A007502(4) = [1;1,1,4] = 14/9. MATHEMATICA f[n_] := Numerator@  FromContinuedFraction@ Join[ Table[1, {n}], {n + 1}]; Array[f, 30, 0] (* Robert G. Wilson v, Mar 04 2012 *) PROG (Haskell) a088209 n = a088209_list !! n a088209_list = zipWith (+) a000045_list \$ tail a045925_list -- Reinhard Zumkeller, Oct 01 2012, Mar 04 2012 CROSSREFS Cf. A007502 (the denominators). a(n) = A109754(n, n+2) = A101220(n, 0, n+2). Cf. A000045. Cf. A045925. Sequence in context: A018084 A285447 A140741 * A089074 A125176 A153234 Adjacent sequences:  A088206 A088207 A088208 * A088210 A088211 A088212 KEYWORD frac,nonn AUTHOR Paul D. Hanna, Sep 23 2003 STATUS approved

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Last modified February 19 09:33 EST 2020. Contains 332041 sequences. (Running on oeis4.)