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Revision History for A016821 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A016821 a(n) = (4n+1)^9.
(history; published version)
#18 by Joerg Arndt at Fri Apr 21 05:46:24 EDT 2023
STATUS

reviewed

approved

#17 by Michel Marcus at Fri Apr 21 04:56:32 EDT 2023
STATUS

proposed

reviewed

#16 by Amiram Eldar at Fri Apr 21 04:41:08 EDT 2023
STATUS

editing

proposed

#15 by Amiram Eldar at Fri Apr 21 04:35:37 EDT 2023
AUTHOR

_N. J. A. Sloane_._

#14 by Amiram Eldar at Fri Apr 21 04:11:11 EDT 2023
FORMULA

Sum_{n>=0} 1/a(n) = 277*Pi^9/16515072 + 511*zeta(59)/1024. (End)

CROSSREFS

Cf. A013663A013667, A016813.

#13 by Amiram Eldar at Fri Apr 21 04:09:46 EDT 2023
DATA

1, 1953125, 387420489, 10604499373, 118587876497, 794280046581, 3814697265625, 14507145975869, 46411484401953, 129961739795077, 327381934393961, 756680642578125, 1628413597910449, 3299763591802133, 6351461955384057, 11694146092834141, 20711912837890625, 35452087835576229

LINKS

<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).

FORMULA

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)

CROSSREFS

Cf. A013663, A016813.

STATUS

approved

editing

#12 by Harvey P. Dale at Sat Sep 24 16:27:05 EDT 2022
STATUS

editing

approved

#11 by Harvey P. Dale at Sat Sep 24 16:27:03 EDT 2022
MATHEMATICA

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 *)

STATUS

approved

editing

#10 by Ray Chandler at Sun Jul 16 20:49:33 EDT 2017
STATUS

editing

approved

#9 by Ray Chandler at Sun Jul 16 20:49:30 EDT 2017
LINKS

<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).

STATUS

approved

editing

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Last modified August 29 18:33 EDT 2024. Contains 375518 sequences. (Running on oeis4.)