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A120785 Denominators of partial sums of Catalan numbers scaled by powers of 1/16. 6
1, 16, 128, 4096, 32768, 524288, 4194304, 268435456, 2147483648, 34359738368, 274877906944, 8796093022208, 70368744177664, 1125899906842624, 9007199254740992, 1152921504606846976 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Numerators are given under A120784.
The listed numbers coincide with the denominators of sum(C(k)/(-16)^k,k=0..n). For the numerators see A120794. In general these denominators may be different. See e.g. A120783 versus A120793 and A120787 versus A120796.
Also one fourth of denominators of partial sums for sqrt(2)+sqrt(3). See A121503 for the numerators.
LINKS
FORMULA
a(n)=denominator(r(n)), with the rationals r(n):=sum(C(k)/16^k,k=0..n) with C(k):=A000108(k) (Catalan numbers).
CROSSREFS
Sequence in context: A163399 A067488 A308310 * A031156 A099195 A041486
KEYWORD
nonn,easy,frac
AUTHOR
Wolfdieter Lang, Jul 20 2006
STATUS
approved

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Last modified March 28 14:33 EDT 2024. Contains 371254 sequences. (Running on oeis4.)