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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A360795 Expansion of Sum_{k>0} x^k / (1 - (k * x)^k)^(k+1). 1
 1, 3, 4, 17, 6, 211, 8, 1929, 7300, 22601, 12, 1724809, 14, 6703047, 223678576, 738787345, 18, 65630598229, 20, 2119646503661, 24448573943662, 3423809253371, 24, 21453113652593665, 12016296386718776, 4240253019018225, 8255251542208471048, 67251293544533119589, 30 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..29. FORMULA a(n) = Sum_{d|n} d^(n-d) * binomial(d+n/d-1,d). If p is prime, a(p) = 1 + p. MATHEMATICA a[n_] := DivisorSum[n, #^(n-#) * Binomial[# + n/# - 1, #] &]; Array[a, 30] (* Amiram Eldar, Aug 02 2023 *) PROG (PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=1, N, x^k/(1-(k*x)^k)^(k+1))) (PARI) a(n) = sumdiv(n, d, d^(n-d)*binomial(d+n/d-1, d)); CROSSREFS Cf. A360787, A360788. Cf. A339481, A360794. Sequence in context: A252606 A248240 A110983 * A100560 A025534 A082000 Adjacent sequences: A360792 A360793 A360794 * A360796 A360797 A360798 KEYWORD nonn AUTHOR Seiichi Manyama, Feb 21 2023 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 December 5 09:29 EST 2023. Contains 367589 sequences. (Running on oeis4.)