login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A051704 Maximal value of products of partitions of n into powers of distinct primes (powers of 1 and 2 excluded). 2
1, 0, 0, 3, 0, 5, 0, 7, 15, 9, 21, 11, 35, 13, 45, 105, 63, 17, 77, 165, 99, 315, 117, 385, 143, 495, 1155, 693, 1365, 819, 221, 1001, 3465, 1287, 4095, 1309, 5005, 1683, 6435, 15015, 9009, 2431, 8415, 19635, 11781, 45045, 13923, 25935, 17017, 58905, 21879 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..50.

EXAMPLE

a(14)=45 because max{3*11,9*5}=45.

MATHEMATICA

a[n_] := (pp = Reap[ Do[ pk = p^k; If[pk <= n, Sow[pk]], {p, Prime[ Range[2, PrimePi[n]]]}, {k, 1, Ceiling[Log[3, n]]}]][[2, 1]]; sel = Select[ IntegerPartitions[n, All, pp], Length[#] == Length[ Union[#] && !MatchQ[#, {___, x_, ___, y_, ___} /; GCD[x, y] != 1]] &]; Max[Times @@@ sel]); a[0] = 1; a[1] = a[2] = a[4] = a[6] = 0; Table[a[n], {n, 0, 50}] (* Jean-François Alcover, Jul 31 2012 *)

CROSSREFS

Cf. A051703.

Sequence in context: A160035 A210451 A239233 * A049689 A227901 A118657

Adjacent sequences:  A051701 A051702 A051703 * A051705 A051706 A051707

KEYWORD

nonn

AUTHOR

Vladeta Jovovic

EXTENSIONS

a(43) (typo?) corrected by Jean-François Alcover, Jul 31 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 18 17:15 EST 2014. Contains 252173 sequences.