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A052683 Expansion of e.g.f. 2*x^4/(1-x). 1
0, 0, 0, 0, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 174356582400, 2615348736000, 41845579776000, 711374856192000, 12804747411456000, 243290200817664000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
FORMULA
E.g.f.: 2*x^4/(1-x)
D-finite recurrence: a(n)=0, a(1)=0, a(2)=0, a(3)=0, a(4)=48, a(n) = n*a(n-1).
a(n) = 2*n!, n>3.
G.f.: 48*x^4*hypergeometric2F0([1,5], [], x). - G. C. Greubel, Jun 04 2022
MAPLE
spec := [S, {S=Prod(Z, Z, Z, Sequence(Z), Union(Z, Z))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
MATHEMATICA
With[{nn=20}, CoefficientList[Series[(2x^4)/(1-x), {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, May 22 2012 *)
Table[2*n!*(1-Boole[n<4]), {n, 0, 40}] (* G. C. Greubel, Jun 04 2022 *)
PROG
(Magma) [n le 3 select 0 else 2*Factorial(n): n in [0..40]]; // G. C. Greubel, Jun 04 2022
(SageMath) [2*factorial(n)*(1 - bool(n<4)) for n in (0..40)] # G. C. Greubel, Jun 04 2022
CROSSREFS
Cf. A000142.
Sequence in context: A230136 A157913 A181773 * A206054 A206047 A223434
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
STATUS
approved

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Last modified May 23 05:11 EDT 2024. Contains 372758 sequences. (Running on oeis4.)