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A064321 a(n) = n*(n-1)^3*(n-2)^3*(n-3). 2
0, 0, 0, 0, 864, 17280, 144000, 756000, 2963520, 9483264, 26127360, 64152000, 143748000, 298995840, 584648064, 1085142240, 1926288000, 3290112000, 5433384960, 8710395264, 13600573920, 20741616000, 30968784000, 45361118880 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
G.f.: -288*x^4*(3*x^4+33*x^3+68*x^2+33*x+3) / (x-1)^9. - Colin Barker, Sep 14 2014
EXAMPLE
a(4) = 4*(3^3)*(2^3)*1 = 4*27*8*1 = 864.
MAPLE
A064321:=n->n*(n-1)^3*(n-2)^3*(n-3); seq(A064321(n), n=0..50); # Wesley Ivan Hurt, Feb 02 2014
MATHEMATICA
Table[n (n - 3) (n - 1)^3*(n - 2)^3, {n, 0, 50}] (* Wesley Ivan Hurt, Feb 02 2014 *)
PROG
(PARI) { for (n=0, 400, write("b064321.txt", n, " ", n*(n - 1)^3*(n - 2)^3*(n - 3)) ) } \\ Harry J. Smith, Sep 11 2009
(PARI) concat([0, 0, 0, 0], Vec(-288*x^4*(3*x^4+33*x^3+68*x^2+33*x+3)/(x-1)^9 + O(x^100))) \\ Colin Barker, Sep 14 2014
CROSSREFS
Sequence in context: A298327 A299220 A300034 * A210408 A299413 A300055
KEYWORD
nonn,easy
AUTHOR
Henry Bottomley, Sep 10 2001
STATUS
approved

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Last modified June 17 21:09 EDT 2024. Contains 373464 sequences. (Running on oeis4.)