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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A352863 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n+3,k+3) * a(k). 0
 1, 4, 30, 260, 2625, 30296, 393372, 5675160, 90062775, 1559197420, 29242803018, 590638256572, 12781663255725, 295040675093360, 7236113219901240, 187911083837928048, 5150869386839932995, 148622674413214927140, 4502761102131604279590, 142914444471765753144820 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..19. FORMULA E.g.f.: d^3/dx^3 ( x^3 / (3!*(2 - exp(x))) ). a(n) = A000292(n+1) * A000670(n). MATHEMATICA a[0] = 1; a[n_] := a[n] = Sum[Binomial[n + 3, k + 3] a[k], {k, 0, n - 1}]; Table[a[n], {n, 0, 19}] nmax = 19; CoefficientList[Series[D[x^3/(3! (2 - Exp[x])), {x, 3}], {x, 0, nmax}], x] Range[0, nmax]! CROSSREFS Cf. A000292, A000670, A045499, A052882, A105480, A154931, A240798. Sequence in context: A102307 A209441 A371486 * A330801 A052658 A340895 Adjacent sequences: A352860 A352861 A352862 * A352864 A352865 A352866 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Apr 06 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 April 18 09:47 EDT 2024. Contains 371779 sequences. (Running on oeis4.)