A016787 -id:A016787 - cp's OEIS frontend

A016788 a(n) = (3*n+1)^12.

1, 16777216, 13841287201, 1000000000000, 23298085122481, 281474976710656, 2213314919066161, 12855002631049216, 59604644775390625, 232218265089212416, 787662783788549761, 2386420683693101056, 6582952005840035281, 16777216000000000000, 39959630797262576401

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Cf. A008456, A016777, A016778, A016779, A016780, A016781, A016782, A016783, A016784, A016785, A016786, A016787.

Subsequence of A008456.

[(3*n+1)^12: n in [0..20]]; // Vincenzo Librandi, Sep 29 2011

Table[(3n+1)^12,{n,0,100}] (* Mohammad K. Azarian, Jun 15 2016 *)

a(n) = A008456(A016777(n)). - Michel Marcus, Jun 16 2016

Sum_{n>=0} 1/a(n) = PolyGamma(11, 1/3)/21213424108800. - Amiram Eldar, Mar 30 2022

A016943 a(n) = (6*n + 2)^11.

Original entry on oeis.org

2048, 8589934592, 4049565169664, 204800000000000, 3670344486987776, 36028797018963968, 238572050223552512, 1196683881290399744, 4882812500000000000, 16985107389382393856, 52036560683837093888, 143746751770690322432, 364375289404334925824, 858993459200000000000

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Cf. A016787, A016933, A016934, A016935, A016936, A016937, A016938, A016939, A016940, A016941, A016942.

Subsequence of A008455.

[(6*n+2)^11: n in [0..25]]; // Vincenzo Librandi, May 05 2011

(6*Range[0,10]+2)^11 (* Harvey P. Dale, Sep 30 2019 *)

a(n) = A016787(n)*2^11. - Zerinvary Lajos, Jun 22 2009
From Amiram Eldar, Mar 30 2022: (Start)
a(n) = A016933(n)^9 = A016935(n)^3.
Sum_{n>=0} 1/a(n) = 1847*Pi^11/(1285662067200*sqrt(3)) + 88573*zeta(11)/362797056. (End)

A017207 a(n) = (9*n + 3)^11.

Original entry on oeis.org

177147, 743008370688, 350277500542221, 17714700000000000, 317475837322472439, 3116402981210161152, 20635899893042801193, 103510234140112521216, 422351360321044921875, 1469170321634239709184, 4501035456767426597157, 12433743083946522728448, 31517572945366073781711

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Cf. A013669, A016787, A017197.

[(9*n+3)^11: n in [0..15]]; // Vincenzo Librandi, Jul 23 2011

Table[(9*n + 3)^11, {n, 0, 15}] (* Amiram Eldar, Oct 03 2024 *)

From Amiram Eldar, Oct 03 2024: (Start)
a(n) = A017197(n)^11 = 3^11 * A016787(n).
Sum_{n>=0} 1/a(n) = 7388*Pi^11/(444826519957575*sqrt(3)) + 88573*zeta(11)/31381059609.  (End)

A017579 a(n) = (12n+4)^11.

Original entry on oeis.org

4194304, 17592186044416, 8293509467471872, 419430400000000000, 7516865509350965248, 73786976294838206464, 488595558857835544576, 2450808588882738675712, 10000000000000000000000, 34785499933455142617088, 106570876280498368282624, 294393347626373780340736

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Cf. A008455, A013669, A016787, A017569.

(12*Range[0,20]+4)^11 (* Harvey P. Dale, Jan 07 2015 *)

From Amiram Eldar, Jul 14 2024: (Start)
a(n) = A008455(A017569(n)) = A017569(n)^11.
a(n) = 4194304 * A016787(n).
Sum_{n>=0} 1/a(n) = 1847*Pi^11/(2633035913625600*sqrt(3)) + 88573*zeta(11)/743008370688. (End)

More terms from Amiram Eldar, Jul 14 2024

cp's OEIS Frontend

A016788 a(n) = (3*n+1)^12.

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A016943 a(n) = (6*n + 2)^11.

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A017207 a(n) = (9*n + 3)^11.

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Magma

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A017579 a(n) = (12n+4)^11.

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