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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A341065 Number of ways to write n as an ordered sum of 5 squarefree numbers. 8
 1, 5, 15, 30, 50, 76, 120, 180, 250, 315, 401, 520, 670, 805, 955, 1160, 1445, 1715, 1980, 2290, 2741, 3180, 3605, 4040, 4690, 5341, 5985, 6600, 7490, 8380, 9251, 10060, 11240, 12415, 13595, 14670, 16295, 17850, 19425, 20780, 22905, 24905, 26895, 28600, 31335, 33966, 36485, 38620 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,2 LINKS Table of n, a(n) for n=5..52. FORMULA G.f.: (Sum_{k>=1} mu(k)^2 * x^k)^5. MAPLE b:= proc(n, t) option remember; `if`(n=0, `if`(t=0, 1, 0), `if`(t<1, 0, add( `if`(numtheory[issqrfree](j), b(n-j, t-1), 0), j=1..n))) end: a:= n-> b(n, 5): seq(a(n), n=5..52); # Alois P. Heinz, Feb 04 2021 MATHEMATICA nmax = 52; CoefficientList[Series[Sum[MoebiusMu[k]^2 x^k, {k, 1, nmax}]^5, {x, 0, nmax}], x] // Drop[#, 5] & CROSSREFS Cf. A005117, A008683, A008966, A098235, A280210, A308840, A341064, A341066, A341067, A341068, A341069, A341070. Sequence in context: A341984 A028895 A194150 * A246817 A010898 A048065 Adjacent sequences: A341062 A341063 A341064 * A341066 A341067 A341068 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Feb 04 2021 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 September 26 07:43 EDT 2023. Contains 365654 sequences. (Running on oeis4.)