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A182870 Joint-rank array of odd prime powers:  p(i+1)^j, i>=1, j>=1, read by antidiagonals. 7
1, 4, 2, 11, 10, 3, 26, 36, 18, 5, 61, 127, 78, 35, 6, 143, 471, 381, 234, 46, 7, 348, 1867, 1987, 1760, 349, 70, 8, 881, 7755, 11195, 14884, 3166, 686, 111, 9, 2279 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Joint-rank arrays are defined in the first comment at A182801.  A182870 is a permutation of the positive integers.

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

First, arrange the odd prime powers in rows:

3....9...27....81...

5...25..125...625...

7...49..343...2401...

Then replace each by its ranks when they are all jointly ranked:

1....4...11....26...

2...10...36...127...

3...18...78...381...

5...35..234..1760...

MATHEMATICA

T[i_, j_]:=Sum[Floor[j*Log[Prime[i+1]]/Log[Prime[h]]], {h, 2, PrimePi[Prime[i+1]^j]}]; TableForm[Table[T[i, j], {i, 1, 6}, {j, 1, 6}]]

CROSSREFS

A182801, A182869, A182871, A182872, A182942, A182943.

Sequence in context: A154699 A213568 A185878 * A094406 A142706 A092952

Adjacent sequences:  A182867 A182868 A182869 * A182871 A182872 A182873

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Dec 09 2010

EXTENSIONS

Corrected and extended by Clark Kimberling, Dec 14 2010

STATUS

approved

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Last modified July 10 13:04 EDT 2020. Contains 335576 sequences. (Running on oeis4.)