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A253609 Array read by upwards antidiagonals: a(n,k) = index of prime(k)^n in A098550. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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: A271647 A232643 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

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Last modified September 16 02:16 EDT 2019. Contains 327088 sequences. (Running on oeis4.)