The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A008531 Coordination sequence for {A_4}* lattice. 4
 1, 10, 50, 150, 340, 650, 1110, 1750, 2600, 3690, 5050, 6710, 8700, 11050, 13790, 16950, 20560, 24650, 29250, 34390, 40100, 46410, 53350, 60950, 69240, 78250, 88010, 98550, 109900, 122090, 135150, 149110, 164000, 179850, 196690, 214550, 233460, 253450 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Coordination sequence for 4-dimensional cyclotomic lattice Z[zeta_10]. REFERENCES M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv:math/0508136 [math.CO], 2005-2006. M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908. [Annotated scanned copy] Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA G.f.: (1 +6*x +16*x^2 +6*x^3 +x^4)/(1-x)^4. - Colin Barker, Sep 21 2012 E.g.f.: 1 + x*(10 + 15*x + 5*x^2)*exp(x). - G. C. Greubel, Nov 10 2019 MAPLE 1, seq( 5*k^3+5*k, k=1..40); MATHEMATICA CoefficientList[Series[(1 +6x +16x^2 +6x^3 +x^4)/(1-x)^4, {x, 0, 50}], x] (* Vincenzo Librandi, Oct 15 2013 *) LinearRecurrence[{4, -6, 4, -1}, {1, 10, 50, 150, 340}, 40] (* Harvey P. Dale, Jun 09 2016 *) PROG (PARI) a(n)=5*n*(n^2+1) \\ Charles R Greathouse IV, Mar 08 2013 (MAGMA) [1] cat [5*n*(1+n^2): n in [1..45]]; // G. C. Greubel, Nov 10 2019 (Sage) [1]+[5*n*(1+n^2) for n in (1..45)] # G. C. Greubel, Nov 10 2019 (GAP) Concatenation([1], List([1..45], n-> 5*n*(1+n^2))); # G. C. Greubel, Nov 10 2019 CROSSREFS Cf. A222408. Sequence in context: A102915 A153780 A196507 * A051230 A008413 A006542 Adjacent sequences:  A008528 A008529 A008530 * A008532 A008533 A008534 KEYWORD nonn,easy AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 18 02:57 EST 2020. Contains 332006 sequences. (Running on oeis4.)