Revision History for A016821
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#18 by Joerg Arndt at Fri Apr 21 05:46:24 EDT 2023
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#17 by Michel Marcus at Fri Apr 21 04:56:32 EDT 2023
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#16 by Amiram Eldar at Fri Apr 21 04:41:08 EDT 2023
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#15 by Amiram Eldar at Fri Apr 21 04:35:37 EDT 2023
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| AUTHOR
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_N. J. A. Sloane_._
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#14 by Amiram Eldar at Fri Apr 21 04:11:11 EDT 2023
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| FORMULA
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Sum_{n>=0} 1/a(n) = 277*Pi^9/16515072 + 511*zeta(59)/1024. (End)
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| CROSSREFS
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Cf. A013663A013667, A016813.
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#13 by Amiram Eldar at Fri Apr 21 04:09:46 EDT 2023
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| DATA
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1, 1953125, 387420489, 10604499373, 118587876497, 794280046581, 3814697265625, 14507145975869, 46411484401953, 129961739795077, 327381934393961, 756680642578125, 1628413597910449, 3299763591802133, 6351461955384057, 11694146092834141, 20711912837890625, 35452087835576229
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| LINKS
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<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -,-45, ,120, -,-210, ,252, -,-210, ,120, -,-45, ,10, -,-1).
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| FORMULA
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From Amiram Eldar, Apr 21 2023: (Start)
a(n) = A016813(n)^9.
Sum_{n>=0} 1/a(n) = 277*Pi^9/16515072 + 511*zeta(5)/1024. (End)
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| CROSSREFS
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Cf. A013663, A016813.
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| STATUS
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approved
editing
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#12 by Harvey P. Dale at Sat Sep 24 16:27:05 EDT 2022
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#11 by Harvey P. Dale at Sat Sep 24 16:27:03 EDT 2022
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| MATHEMATICA
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LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1, 1953125, 387420489, 10604499373, 118587876497, 794280046581, 3814697265625, 14507145975869, 46411484401953, 129961739795077}, 20] (* Harvey P. Dale, Sep 24 2022 *)
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approved
editing
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#10 by Ray Chandler at Sun Jul 16 20:49:33 EDT 2017
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#9 by Ray Chandler at Sun Jul 16 20:49:30 EDT 2017
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| LINKS
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<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
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approved
editing
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