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 A080951 Sequence associated with recurrence a(n) = 2*a(n-1) + k*(k+2)*a(n-2). 10
 1, 5, 30, 140, 560, 2016, 6720, 21120, 63360, 183040, 512512, 1397760, 3727360, 9748480, 25067520, 63504384, 158760960, 392232960, 958791680, 2321285120, 5571084288, 13264486400, 31352422400, 73610035200, 171756748800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Fifth column of triangle A080928. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..400 Index entries for linear recurrences with constant coefficients, signature (10,-40,80,-80,32). FORMULA G.f.: (1-x)*(1 - 4*x + 16*x^2 - 24*x^3 + 16*x^4)/(1-2*x)^5. a(n) = ceiling(binomial(n+4,4)*2^(n-1)). - Zerinvary Lajos, Nov 01 2006 MAPLE [seq( ceil(binomial(n+4, 4)*2^(n-1)), n=0..24)]; # Zerinvary Lajos, Nov 01 2006 PROG (MAGMA) [(Ceiling(Binomial(n+4, 4)*2^(n-1))) : n in [0..30]]; // Vincenzo Librandi, Sep 22 2011 CROSSREFS Cf. A082140, A082141, A082138, A082139, A080929, A057711. Sequence in context: A213260 A054612 A282078 * A255052 A282086 A180285 Adjacent sequences:  A080948 A080949 A080950 * A080952 A080953 A080954 KEYWORD nonn,easy AUTHOR Paul Barry, Feb 26 2003 STATUS approved

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Last modified June 25 12:55 EDT 2019. Contains 324352 sequences. (Running on oeis4.)