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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A352358 Expansion of e.g.f. 1/(1 - Sum_{k>=1} binomial(k+3,4) * x^k/k!). 1
 1, 1, 7, 51, 509, 6390, 96036, 1684284, 33760588, 761287221, 19074162865, 525696741801, 15805694091243, 514818296979974, 18058391314446224, 678683621386945560, 27207234575709663516, 1158858397815372736601, 52263672918705232821477 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. FORMULA E.g.f.: 1/(1 - (x + 3*x^2/2 + x^3/2 + x^4/24)*exp(x)). a(0) = 1; a(n) = Sum_{k=1..n} binomial(k+3,4) * binomial(n,k) * a(n-k). PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1-(x+3*x^2/2+x^3/2+x^4/24)*exp(x)))) (PARI) a(n) = if(n==0, 1, sum(k=1, n, binomial(k+3, 4)*binomial(n, k)*a(n-k))); CROSSREFS Cf. A006153, A308946, A352357. Cf. A000332, A346890. Sequence in context: A246572 A230883 A304939 * A293073 A368286 A081216 Adjacent sequences: A352355 A352356 A352357 * A352359 A352360 A352361 KEYWORD nonn AUTHOR Seiichi Manyama, Mar 13 2022 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 16 18:24 EDT 2024. Contains 375977 sequences. (Running on oeis4.)