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!)
 A251627 Circular disk sequence for the lattice of the Archimedean tiling (3,4,6,4). 4
 1, 5, 7, 9, 13, 14, 18, 25, 29, 33, 35, 39, 43, 45, 49, 51, 55, 57, 59, 63, 69, 73, 77, 79, 83, 89, 93, 97, 99, 101, 103, 107, 109, 113, 117, 121, 123, 127, 129, 133, 134, 136, 140, 144, 146, 158, 160, 164, 165, 169, 173, 177, 181, 183, 187 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For the squares of the radii of the lattice point hitting circles of the Archimedean tiling (3,4,6,4) see A249870 and A249871. The first differences for this sequence are given in A251628. LINKS Wolfdieter Lang, On lattice point circles for the Archimedean tiling (3,4,6,4) FORMULA a(n) is the number of lattice points of the Archimedean tiling (3,4,6,4) on the boundary and the interior of the circular disk belonging to the radius R(n) = sqrt(A249870(n) + A249871(n)* sqrt(3)), for n >= 0. EXAMPLE n=4: The radius of the disk is R(4) = sqrt(2 + sqrt(3)), approximately 1.932. The lattice points for this R(n)-disk are the origin, four points on the circle with radius R(1) = 1, two points on the circle with radius R(2) = sqrt(2), two points on the circle with radius R(3) = sqrt(3) and 4 points on the circle with radius R(4) = sqrt(2+sqrt(3)), all together 1 + 4 + 2 + 2 + 4 = 13 = a(4) lattice points. See Figure 3 of the note given in the link. CROSSREFS Cf. A249870, A249871, A251628. Sequence in context: A116024 A115913 A200268 * A128161 A141106 A047478 Adjacent sequences:  A251624 A251625 A251626 * A251628 A251629 A251630 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Dec 09 2014 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 June 17 00:17 EDT 2021. Contains 345080 sequences. (Running on oeis4.)