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A005212 n! if n is odd otherwise 0 (from the Taylor series for sin x). 8
0, 1, 0, 6, 0, 120, 0, 5040, 0, 362880, 0, 39916800, 0, 6227020800, 0, 1307674368000, 0, 355687428096000, 0, 121645100408832000, 0, 51090942171709440000, 0, 25852016738884976640000, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Normally sequences like this are not included, since with the alternating 0's deleted it is already in the database.

From Michael Somos, Mar 04 2004: (Start)

Stirling transform of a(n) = [1,0,6,0,120,0,5040,...] is A089677(n) = [1,1,7,37,271,...].

Stirling transform of a(n-1) = [0,1,0,6,0,120,0,...] is A000670(n-1) = [0,1,3,13,75,...].

Stirling transform of a(n-1) = [1,1,0,6,0,120,0,...] is A052856(n-1) = [1,2,4,14,76,...]. (End)

REFERENCES

D. R. Hofstadter, Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought, (together with the Fluid Analogies Research Group), NY: Basic Books, 1995.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..448

Index entries for sequences related to factorial numbers

FORMULA

E.g.f.: -log(cos(arcsin(x))). - Vladimir Kruchinin, Jun 15 2011

MAPLE

BB:=[T, {T=Prod(Z, F), F=Sequence(B), B=Prod(Z, Z)}, labeled]: seq(count(BB, size=i), i=0..24); # Zerinvary Lajos, Apr 22 2007

MATHEMATICA

nn = 20; Rest[ Range[0, nn]! CoefficientList[ Series[ Log[(1 - x^2)^(-1/2)], {x, 0, nn}], x]] (* Geoffrey Critzer, May 29 2013 *)

Riffle[Range[1, 25, 2]!, 0, {1, -1, 2}] (* Harvey P. Dale, Mar 10 2017 *)

PROG

(PARI) a(n)=if(n<0, 0, if(n%2, n!, 0));

CROSSREFS

Sequence in context: A085511 A187525 A187696 * A167028 A246137 A052679

Adjacent sequences:  A005209 A005210 A005211 * A005213 A005214 A005215

KEYWORD

nonn

AUTHOR

Russ Cox

STATUS

approved

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Last modified March 23 12:43 EDT 2019. Contains 321430 sequences. (Running on oeis4.)