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 A101891 Sum C(n,2k)F(k+1), k=0..floor(n/2). 0
 1, 1, 2, 4, 9, 21, 49, 113, 258, 586, 1329, 3015, 6845, 15549, 35330, 80280, 182413, 414461, 941669, 2139477, 4860898, 11044006, 25092157, 57009871, 129527609, 294289401, 668631458, 1519143916, 3451524785, 7841931877, 17817022873 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Transform of F(n+1) under the mapping g(x)-> (1/(1-x))g(x^2/((1-x)^2). Binomial transform of 1,0,1,0,2,0,3,0,5,... LINKS Index entries for linear recurrences with constant coefficients, signature (4,-5,2,1) FORMULA G.f.: (1-x)^3/(1-4x+5x^2-2x^3-x^4); a(n)=4a(n-1)-5a(n-2)+2a(n-3)+a(n-4); a(n)=sum{k=0..n, binomial(n, k)(F((k+2)/2)(1+(-1)^k)/2}. CROSSREFS Cf. A000045. Sequence in context: A051164 A182904 A281425 * A119967 A266232 A052921 Adjacent sequences:  A101888 A101889 A101890 * A101892 A101893 A101894 KEYWORD easy,nonn AUTHOR Paul Barry, Dec 20 2004 STATUS approved

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Last modified September 26 18:49 EDT 2020. Contains 337374 sequences. (Running on oeis4.)