A253609 Array read by upwards antidiagonals: a(n,k) = index of prime(k)^n in A098550.

2, 4, 3, 6, 5, 9, 14, 19, 11, 15, 29, 57, 94, 40, 22, 65, 171, 483, 269, 124, 23, 137, 549, 2549, 1996, 1071, 187, 30, 277, 1786

Offset

1,1

Comments

Entry a(n,k), in row n and column k, is the index of the entry in A098550 such that A098550(a(n,k)) = prime(k)^n.

Conjecture: For all natural numbers i, j, k, prime(k)^i precedes prime(k)^(i+1) and prime(k)^j precedes prime(k+1)^j in A098550.

Links

Table of n, a(n) for n=1..30.

Example

Table starts:
{  2,    3,    9,   15,   22,   23,   30,   43,  51,  61, ...}
{  4,    5,   11,   40,  124,  187,  273,  313, 505, 747, ...}
{  6,   19,   94,  269, 1071, 1810, 4142, 5856, ...          }
{ 14,   57,  483, 1996, ...                                  }
{ 29,  171, 2549, ...                                        }
{ 65,  549, ...                                              }
{137, 1786, ...                                              }

Crossrefs

Cf. A098550, A251239-A251240 (rows 1, 2), A251241\{1} = union A253609.

Sequence in context: A232643 A366263 A231334 * A300002 A082560 A191598

Adjacent sequences: A253606 A253607 A253608 * A253610 A253611 A253612

Keyword

nonn,tabl,more

Author

L. Edson Jeffery, Jan 05 2015

Status

approved