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Search: id:A120781
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| A120781 |
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Denominators of partial sums of Catalan numbers scaled by powers of 1/8. |
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+0
3
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| 1, 8, 32, 512, 2048, 16384, 65536, 2097152, 8388608, 67108864, 268435456, 4294967296, 17179869184, 137438953472, 549755813888, 35184372088832, 140737488355328, 1125899906842624, 4503599627370496, 72057594037927936
(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 A120780.
The listed numbers coincide with denominators of sum(C(k)/(-8)^k,k=0..n). For the numerators see A120789. In general these denominators may be different. See e.g. A120783 versus A120793 and A120787 versus A120796.
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FORMULA
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a(n)=denominator(r(n)), with the rationals r(n):=sum(C(k)/8^k,k=0..n) with C(k):=A000108(k) (Catalan numbers).
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CROSSREFS
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Sequence in context: A093759 A066415 A034193 this_sequence A139286 A139306 A079271
Adjacent sequences: A120778 A120779 A120780 this_sequence A120782 A120783 A120784
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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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