The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A112581 Number of partitions of n into 5-smooth parts. 2
 1, 2, 3, 5, 7, 11, 14, 21, 28, 39, 50, 69, 87, 115, 146, 189, 235, 302, 371, 469, 575, 714, 867, 1072, 1292, 1577, 1894, 2293, 2734, 3293, 3902, 4664, 5511, 6542, 7690, 9094, 10638, 12507, 14588, 17073, 19830, 23121, 26757, 31066, 35860, 41469, 47701 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Smooth Number Eric Weisstein's World of Mathematics, Partition Function P FORMULA G.f.: Product_{a>=0} Product_{b>=0} Product_{c>=0} 1/(1-x^(2^a*3^b*5^c)). - Robert Israel, Apr 16 2019 MAPLE N:= 100: P:= select(t -> max(numtheory:-factorset(t))<=5, [\$1..N]): S:= series(mul(1/(1-q^k), k=P), q, N+1): seq(coeff(S, q, k), k=1..N); # Robert Israel, Apr 16 2019 CROSSREFS Cf. A000041, A051037, A105420, A112582. Sequence in context: A023027 A051014 A035968 * A288255 A325853 A035976 Adjacent sequences:  A112578 A112579 A112580 * A112582 A112583 A112584 KEYWORD nonn AUTHOR Reinhard Zumkeller, Sep 14 2005 STATUS approved

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

Last modified May 17 16:12 EDT 2022. Contains 353747 sequences. (Running on oeis4.)