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 A241497 q-Pell numbers with q=2. 1
 0, 1, 2, 6, 20, 88, 496, 3808, 39360, 566144, 11208448, 312282624, 12102016000, 663758845952, 50897375227904, 5539307216494592, 844981210166968320, 183201981290428727296, 55743092552083293274112 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. FORMULA Recurrence: a(n) = 2*a(n-1) + 2^(n-2) a(n-2), a(0) = 0, a(1) = 1. PROG (Sage) # sage -i ore_algebra from ore_algebra import * R. = QQ['x']; A. = OreAlgebra(R, 'Qx', q=2) print((Qx^2 - 2*Qx - x).to_list([0, 1], 10)) CROSSREFS Cf. A015459. Sequence in context: A304932 A293032 A374346 * A003069 A079468 A124382 Adjacent sequences: A241494 A241495 A241496 * A241498 A241499 A241500 KEYWORD nonn AUTHOR Ralf Stephan, Apr 24 2014 STATUS approved

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Last modified August 11 23:45 EDT 2024. Contains 375082 sequences. (Running on oeis4.)