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A129275
Column 1 of triangle A129274; a(n) is the coefficient of q^(n+2) in the squared q-factorial of n+2.
2
1, 10, 71, 474, 3103, 20190, 131204, 853176, 5555674, 36237258, 236763125, 1549496420, 10156512792, 66669881442, 438226458380, 2884072387268, 19002479773355, 125335000366692, 827479642104143, 5468060901435850
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, q-Factorial.
FORMULA
a(n) = [q^(n+2)] Product_{i=1..n+2} { (1-q^i)/(1-q) }^2.
MAPLE
P:= (1+q)^2: A[0]:= 1:
for n from 1 to 50 do
P:= normal(P * (1-q^(n+2))^2/(1-q)^2);
A[n]:= coeff(P, q, n+2);
od:
seq(A[i], i=0..50); # Robert Israel, Jun 25 2018
PROG
(PARI) a(n)=polcoeff(prod(i=1, n+2, (1-x^i)/(1-x))^2, n+2)
CROSSREFS
Cf. A129274.
Sequence in context: A026772 A224292 A016098 * A049672 A221548 A037579
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 07 2007
STATUS
approved