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Search: id:A101630
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| A101630 |
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Denominator of partial sums of a certain series. |
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+0
2
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| 1, 42, 6006, 204204, 3879876, 446185740, 38818159380, 2406725881560, 89048857617720, 3651003162326520, 156993135980040360, 51650741737433278440, 2737489312083963757320, 2737489312083963757320
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OFFSET
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1,2
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COMMENT
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The numerators are given in A101629.
a(13) and a(14) are indeed identical, namely 2737489312083963757320.
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FORMULA
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a(n)=denominator(s(n)) with s(n)=15*sum(1/((4*k-1)*k*(4*k+1)), k=1..n).
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CROSSREFS
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Sequence in context: A048538 A102967 A091545 this_sequence A005791 A006699 A109817
Adjacent sequences: A101627 A101628 A101629 this_sequence A101631 A101632 A101633
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KEYWORD
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nonn,frac,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 23 2004
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