OFFSET
0,2
COMMENTS
A108366(n) = L(n,n).
LINKS
Eric Weisstein's World of Mathematics, Morgan-Voyce polynomials
FORMULA
a(n) = (-1)^n * Product_{k=1..n} (n + 2*cos((2*k-1)*Pi/(2*n+1))) with Pi = 3.14...
a(n) = Sum_{k=0..n} (-1)^k*binomial(n+k,2*k)*(n+2)^k = b(n,-n-2), where b(n,x) are the Morgan-Voyce polynomials of A085478. - Peter Bala, May 01 2012
PROG
(PARI) a(n) = sum(k=0, n, (-1)^k*binomial(n+k, 2*k)*(n+2)^k); \\ Jinyuan Wang, Feb 25 2020
CROSSREFS
KEYWORD
sign
AUTHOR
Reinhard Zumkeller, Jun 01 2005
EXTENSIONS
More terms from Jinyuan Wang, Feb 25 2020
STATUS
approved