OFFSET
0,2
COMMENTS
The numerators of the fractions limiting to the value of A206533.
REFERENCES
E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, Inc., 1966.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..220
MATHEMATICA
RecurrenceTable[{a[n]==(2(n+1)(2n+1)-1)a[n-1]+2n(2n-1)a[n-2], a[0]==0, a[1]==2}, a, {n, 15}]
PROG
(Magma) [n le 2 select 2*(n-1) else (2*n*(2*n-1)-1)*Self(n-1) + 2*(n-1)*(2*n-3)*Self(n-2): n in [1..31]]; // G. C. Greubel, Dec 21 2022
(SageMath)
@CachedFunction
def a(n): # a = A206531
if (n<2): return 2*n
else: return (2*(n+1)*(2*n+1)-1)*a(n-1) + 2*n*(2*n-1)*a(n-2)
[a(n) for n in range(31)] # G. C. Greubel, Dec 21 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Kirikami, Feb 11 2012
STATUS
approved