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A014608 a(n) = (4n)!/(24^n). 23
1, 1, 70, 34650, 63063000, 305540235000, 3246670537110000, 66475579247327250000, 2390461829733887910000000, 140810154080474667338550000000, 12868639981414579848070084500000000, 1746930746117010628955362040959500000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) is also the constant term in product 1 <= i,j <= n, i different from j (1 - x_i/x_j)^4. - Sharon Sela (sharonsela(AT)hotmail.com), Feb 16 2002

REFERENCES

G. E. Andrews, R. Askey and R. Roy, Special Functions, Cambridge University Press, 1998.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..130

J.-C. Novelli, J.-Y. Thibon, Hopf Algebras of m-permutations,(m+1)-ary trees, and m-parking functions, arXiv preprint arXiv:1403.5962 [math.CO], 2014-2020.

MATHEMATICA

Table[(4n)!/24^n, {n, 0, 10}] (* Harvey P. Dale, Oct 15 2015 *)

PROG

(PARI) a(n)=if(n<0, 0, (4*n)!/24^n)

CROSSREFS

Cf. A000680, A014606.

Sequence in context: A177656 A177657 A177676 * A185401 A172555 A263590

Adjacent sequences:  A014605 A014606 A014607 * A014609 A014610 A014611

KEYWORD

nonn

AUTHOR

BjornE (mdeans(AT)algonet.se)

STATUS

approved

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Last modified August 11 09:56 EDT 2020. Contains 336423 sequences. (Running on oeis4.)