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A016821
a(n) = (4n+1)^9.
1
1, 1953125, 387420489, 10604499373, 118587876497, 794280046581, 3814697265625, 14507145975869, 46411484401953, 129961739795077, 327381934393961, 756680642578125, 1628413597910449, 3299763591802133, 6351461955384057, 11694146092834141, 20711912837890625, 35452087835576229
OFFSET
0,2
LINKS
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(9)/1024. (End)
MATHEMATICA
Table[(4n+1)^9, {n, 0, 100}] (* Mohammad K. Azarian, Jun 20 2016 *)
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 *)
CROSSREFS
Sequence in context: A186579 A290500 A377162 * A016857 A016977 A017049
KEYWORD
nonn,easy
STATUS
approved