A062876 Numbers of lattice points corresponding to incrementally largest circle radii in A062875.

4, 12, 20, 28, 44, 52, 68, 76, 92, 116, 124, 148, 164, 172, 188, 212, 236, 244, 268, 284, 292, 316, 332, 356, 388, 404, 412, 428, 436, 452, 508, 524, 548, 556, 596, 604, 628, 652, 668, 692, 716, 724, 764, 772, 788, 796, 844, 892, 908, 916, 932, 956, 964

Offset

1,1

Comments

For n = 1 and n >= 3, a(n) is the smallest nonsquarefree number divisible by prime(n). - David James Sycamore, Jun 15 2024

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Circle Lattice Points

Formula

a(n) = A017113(A111333(n)-1) = 8*A111333(n) - 4.

For n >= 2 a(n) = 4*A000040(n) (a term in A013929). - David James Sycamore, Jun 15 2024

Mathematica

Join[{4}, Table[4 Prime[n], {n, 2, 50}]] (* Vincenzo Librandi, May 08 2015 *)

Prog

(Magma) [4] cat [4*NthPrime(n): n in [2..60]]; // Vincenzo Librandi, May 08 2015
(PARI) a(n)=if(n>1, 4*prime(n), 4) \\ Charles R Greathouse IV, May 08 2015
(Python)
from sympy import prime
def A062876(n): return prime(n)<<2 if n>1 else 4 # Chai Wah Wu, Aug 02 2024

Crossrefs

Cf. A046112, A062875.

Cf. A017113, A111333.

Cf. A000040, A103929

Sequence in context: A017113 A316489 A081770 * A301098 A301267 A337097

Adjacent sequences: A062873 A062874 A062875 * A062877 A062878 A062879

Keyword

easy,nonn

Author

Eric W. Weisstein

Extensions

Edited and extended by Ray Chandler, Jan 05 2012

Status

approved