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 A010969 a(n) = binomial(n,16). 4
 1, 17, 153, 969, 4845, 20349, 74613, 245157, 735471, 2042975, 5311735, 13037895, 30421755, 67863915, 145422675, 300540195, 601080390, 1166803110, 2203961430, 4059928950, 7307872110, 12875774670, 22239974430, 37711260990, 62852101650, 103077446706, 166509721602 (list; graph; refs; listen; history; text; internal format)
 OFFSET 16,2 COMMENTS a(n) = A110555(n+1,16). - Reinhard Zumkeller, Jul 27 2005 Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_17]. In this sequence only 17 is prime. - Artur Jasinski, Dec 02 2007 LINKS T. D. Noe, Table of n, a(n) for n = 16..1000 Matthias Beck and Serkan Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv:math/0508136 [math.CO], 2005-2006. Milan Janjic, Two Enumerative Functions. FORMULA a(n+15) = n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)(n+11)(n+12)(n+13)(n+14)(n+15)/16!. - Artur Jasinski, Dec 02 2007 G.f.: x^16/(1-x)^17. - Zerinvary Lajos, Aug 06 2008; R. J. Mathar, Jul 07 2009 a(n) = n/(n-16) * a(n-1), n > 16. - Vincenzo Librandi, Mar 26 2011 From Amiram Eldar, Dec 10 2020: (Start) Sum_{n>=16} 1/a(n) = 16/15. Sum_{n>=16} (-1)^n/a(n) = A001787(16)*log(2) - A242091(16)/15! = 524288*log(2) - 16369704448/45045 = 0.9468480104... (End) MAPLE seq(binomial(n, 16), n=16..37); # Zerinvary Lajos, Aug 06 2008 MATHEMATICA Table[Binomial[n, 16], {n, 16, 50}] (* Vladimir Joseph Stephan Orlovsky, Apr 22 2011 *) PROG (Magma) [ Binomial(n, 16): n in [16..80]]; // Vincenzo Librandi, Mar 26 2011 (PARI) for(n=16, 50, print1(binomial(n, 16), ", ")) \\ G. C. Greubel, Aug 31 2017 CROSSREFS Sequence in context: A188353 A162637 A247613 * A022582 A164543 A295932 Adjacent sequences: A010966 A010967 A010968 * A010970 A010971 A010972 KEYWORD nonn AUTHOR N. J. A. Sloane EXTENSIONS Some formulas adjusted to the offset by R. J. Mathar, Jul 07 2009 STATUS approved

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Last modified November 30 05:42 EST 2023. Contains 367454 sequences. (Running on oeis4.)