

A182870


Jointrank 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
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OFFSET

1,2


COMMENTS

Jointrank 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 A361216
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



