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 A090145 Even-indexed terms of the binomial transform equal 1 and the odd-indexed terms of the second binomial transform equal 1. 3
 1, -1, 2, -7, 20, -31, 2, -127, 1640, -511, -49498, -2047, 2706860, -8191, -199344598, -32767, 19391577680, -131071, -2404879413298, -524287, 370371189286100, -2097151, -69348874388943598, -8388607, 15514534163573864120, -33554431, -4087072509293056783498 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA E.g.f.: 2*((1 + sinh(x))*exp(x) - sinh(x)) / (exp(x)*(1 + exp(2*x))). a(2n+1) = 1 - 2^(2n+1); 1 = sum_{k=0..2n} C(2n, k)*a(k); 1 = sum_{k=0..2n-1} 2^(2n-1-k)*C(2n-1, k)*a(k). EXAMPLE a(11) = 1 - 2^11 = -2047. First binomial = {1, 0, 1, -3, 1, 15, 1, -273, 1, 7935, 1, -353793,..}; Second binomial = {1, 1, 2, 1, -4, 1, 62, 1, -1384, 1, 50522, 1, -2702764,..}. CROSSREFS Cf. A090158. Sequence in context: A356396 A136907 A259144 * A244307 A270109 A123203 Adjacent sequences: A090142 A090143 A090144 * A090146 A090147 A090148 KEYWORD sign AUTHOR Paul D. Hanna, Nov 22 2003 STATUS approved

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Last modified February 2 12:13 EST 2023. Contains 360011 sequences. (Running on oeis4.)