|
Search: id:A083415
|
|
|
| A083415 |
|
Triangle read by rows: T(n,k) is defined as follows. Write the numbers from 1 to n^2 consecutively in n rows of length n; T(n,k) = number of primes in k-th row. |
|
+0
6
|
|
| 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 1, 2, 2, 1, 3, 2, 2, 2, 1, 1, 4, 2, 2, 1, 2, 2, 2, 4, 2, 3, 2, 1, 3, 1, 2, 4, 3, 2, 2, 3, 2, 2, 2, 2, 4, 4, 2, 2, 3, 2, 2, 3, 2, 1, 5, 3, 3, 3, 2, 2, 3, 2, 2, 4, 1, 5, 4, 2, 4, 2, 3, 3, 1, 4, 2, 2, 2, 6, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 3, 6, 3, 4, 3, 3, 4, 2, 4
(list; table; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
COMMENT
|
Sum(T(n,k): 1<=k<=n) = A038107(n); T(n,1)=A000720(n); T(n,2)=A060715(n) for n>1. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 07 2004
|
|
REFERENCES
|
Paulo Ribenboim, "The Little Book Of Big Primes," Springer-Verlag, NY 1991, page 185.
|
|
LINKS
|
T. D. Noe, Rows n=1..100 of triangle, flattened
|
|
EXAMPLE
|
{0}
{1, 1}
{2, 1, 1} from / 1 2 3 / 4 5 6 / 7 8 9 /
{2, 2, 1, 1}
{3, 1, 2, 2, 1}
{3, 2, 2, 2, 1, 1}
|
|
MATHEMATICA
|
Table[PrimePi[m n]-PrimePi[(m-1) n], {n, 17}, {m, n}]
|
|
CROSSREFS
|
Cf. A083382, A083414, A092556, A092557.
Cf. A139325.
Sequence in context: A107044 A141591 A102523 this_sequence A115514 A122632 A134542
Adjacent sequences: A083412 A083413 A083414 this_sequence A083416 A083417 A083418
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), following a suggestion of Meeussen Wouter (wouter.meeussen(AT)pandora.be), Jun 10 2003
|
|
|
Search completed in 0.002 seconds
|
