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Search: id:A120785
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| A120785 |
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Denominators of partial sums of Catalan numbers scaled by powers of 1/16. |
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+0
7
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| 1, 16, 128, 4096, 32768, 524288, 4194304, 268435456, 2147483648, 34359738368, 274877906944, 8796093022208, 70368744177664, 1125899906842624, 9007199254740992, 1152921504606846976
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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.
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FORMULA
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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).
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CROSSREFS
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Sequence in context: A128692 A132136 A067488 this_sequence A031156 A099195 A041486
Adjacent sequences: A120782 A120783 A120784 this_sequence A120786 A120787 A120788
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KEYWORD
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nonn,easy,frac
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 20 2006
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