A134579 - OEIS

A134579

Column products of tables A133232 and A133233.

1, 4, 729, 256, 95367431640625, 0, 311973482284542371301330321821976049, 16777216, 150094635296999121, 0, 3574335935197503226412197580625705154978327969466895714094061686977589739390331653361877238387305580817715435470601

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..11.

FORMULA

a(n) = if A014963(n)*A100994(n)-n >= 0 then n^(A014963(n)*A100994(n)-n) else 0.

EXAMPLE

a(1) = 1^(1*1-1) = 1

a(2) = 2^(2*2-2) = 4

a(3) = 3^(3*3-3) = 729

a(4) = 4^(2*4-4) = 256

a(5) = 5^(5*5-5) = 95367431640625

a(6) = 6^(1*1-6) = 0

MAPLE

A100994 := proc(n) if nops(numtheory[factorset](n)) <> 1 then 1 ; else n ; fi ; end: A014963 := proc(n) if nops(numtheory[factorset](n)) <> 1 then 1 ; else op(1, op(1, ifactors(n)[2])) ; fi ; end: A134579 := proc(n) local e ; e := A014963(n)*A100994(n)-n ; if e >= 0 then n^e ; else 0 ; fi ; end: seq(A134579(n), n=1..13) ; # R. J. Mathar, Jan 30 2008

CROSSREFS

Cf. A133232, A133233, A014963, A100994.

Sequence in context: A370449 A364632 A059754 * A090588 A053986 A222961

Adjacent sequences: A134576 A134577 A134578 * A134580 A134581 A134582

KEYWORD

nonn

AUTHOR

Mats Granvik, Jan 23 2008

EXTENSIONS

More terms from R. J. Mathar, Jan 30 2008

STATUS

approved