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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A317178 Total number of colors summed over all collections of nonempty multisets with a total of n objects having color set {1,...,k} for some k<=n. 2
 0, 1, 6, 34, 210, 1378, 9726, 73314, 588846, 5018290, 45216798, 429290178, 4281260386, 44724792130, 488185773782, 5555082575762, 65760600166734, 808339570702354, 10299822335353654, 135828836289073570, 1851208197237464530, 26040184250745321058 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..400 FORMULA a(n) = Sum_{k=0..n} k * A255903(n,k). MAPLE b:= proc(n, k) option remember; `if`(n=0, 1, add(b(n-j, k)*add(d* binomial(d+k-1, k-1), d=numtheory[divisors](j)), j=1..n)/n) end: a:= n-> add(add(b(n, k-i)*(-1)^i*binomial(k, i), i=0..k)*k, k=0..n): seq(a(n), n=0..25); CROSSREFS Cf. A255903. Sequence in context: A059228 A079568 A231058 * A218893 A266431 A063090 Adjacent sequences: A317175 A317176 A317177 * A317179 A317180 A317181 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 23 2018 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 28 20:28 EDT 2023. Contains 365737 sequences. (Running on oeis4.)