|
| |
|
|
A132635
|
|
Number of primes, 0s, and 1s in [0, n^2).
|
|
0
| |
|
|
0, 1, 4, 6, 8, 11, 13, 17, 20, 24, 27, 32, 36, 41, 46, 50, 56, 63, 68, 74, 80, 87, 94, 101, 107, 116, 124, 131, 139, 148, 156, 164, 174, 183, 193, 202, 212, 221, 230, 242, 253, 265, 276, 285, 297, 308, 321, 331, 344, 359, 369, 380, 395, 411, 423, 436, 447, 459, 476
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| Number of p-adic cyclotomic type levels in A_n-1 or SU(n).
|
|
|
FORMULA
| a(n) = pi(n^2) + 2 = A038107(n) + 2, n > 1. [Charles R Greathouse IV, Nov 07 2011]
|
|
|
EXAMPLE
| SU(5) at n^2-1=24 is exactly inside SU(9) at n^2-1=80.
|
|
|
MATHEMATICA
| Table[Sum[If[m == 0 || m == 1, 1, If[PrimeQ[m], 1, 0]], {m, 0, n^2 - 1}], {n, 0, 30}]
|
|
|
PROG
| (PARI) a(n)=if(n<2, n, primepi(n^2)+2) \\ Charles R Greathouse IV, Nov 07 2011
|
|
|
CROSSREFS
| Sequence in context: A047290 A086377 A003662 * A134779 A075325 A026278
Adjacent sequences: A132632 A132633 A132634 * A132636 A132637 A132638
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 26 2008
|
| |
|
|
