A016796 -id:A016796 - cp's OEIS frontend

A016964 a(n) = (6*n + 4)^8.

65536, 100000000, 4294967296, 54875873536, 377801998336, 1785793904896, 6553600000000, 20047612231936, 53459728531456, 128063081718016, 281474976710656, 576480100000000, 1113034787454976, 2044140858654976, 3596345248055296, 6095689385410816, 10000000000000000

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Cf. A016796, A016957, A016958, A016959, A016960, A016961, A016962, A016963.

Subsequence of A001016.

[(6*n+4)^8: n in [0..20]]; // Vincenzo Librandi, May 07 2011

(6*Range[0,20]+4)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{65536,100000000,4294967296,54875873536,377801998336,1785793904896,6553600000000,20047612231936,53459728531456},20] (* Harvey P. Dale, Dec 26 2018 *)

From Amiram Eldar, Mar 31 2022: (Start)
a(n) = A016957(n)^8 = A016958(n)^4 = A016960(n)^2.
a(n) = 2^8*A016796(n).
Sum_{n>=0} 1/a(n) = PolyGamma(7, 2/3)/8465264640. (End)

A016797 a(n) = (3*n + 2)^9.

Original entry on oeis.org

512, 1953125, 134217728, 2357947691, 20661046784, 118587876497, 512000000000, 1801152661463, 5429503678976, 14507145975869, 35184372088832, 78815638671875, 165216101262848, 327381934393961, 618121839509504, 1119130473102767, 1953125000000000, 3299763591802133

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795, A016796.

Subsequence of A001017.

Table[(3n+2)^9,{n,0,100}] (* Mohammad K. Azarian, Jun 15 2016 *)

G.f.: (512 + 1948005*x + 114709518*x^2 + 1103599596*x^3 + 2887100154*x^4 + 2388954618*x^5 + 608260290*x^6 + 37732212*x^7 + 262134*x^8 + x^9)/(1 - x)^10. - Ilya Gutkovskiy, Jun 16 2016
From Amiram Eldar, Mar 31 2022: (Start)
a(n) = A016789(n)^9.
Sum_{n>=0} 1/a(n) = 9841*zeta(9)/19683 - 1618*Pi^9/(55801305*sqrt(3)). (End)

A016799 a(n) = (3*n + 2)^11.

Original entry on oeis.org

2048, 48828125, 8589934592, 285311670611, 4049565169664, 34271896307633, 204800000000000, 952809757913927, 3670344486987776, 12200509765705829, 36028797018963968, 96549157373046875, 238572050223552512, 550329031716248441, 1196683881290399744, 2472159215084012303

Offset: 0

N. J. A. Sloane

T. D. Noe, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795, A016796, A016797, A016798.

Subsequence of A008455.

(3Range[0,20]+2)^11 (* Harvey P. Dale, Apr 25 2011 *)

From Amiram Eldar, Apr 01 2022: (Start)
a(n) = A016789(n)^11.
Sum_{n>=0} 1/a(n) = 88573*zeta(11)/177147 - 7388*Pi^11/(2511058725*sqrt(3)). (End)

A016800 a(n) = (3*n + 2)^12.

Original entry on oeis.org

4096, 244140625, 68719476736, 3138428376721, 56693912375296, 582622237229761, 4096000000000000, 21914624432020321, 95428956661682176, 353814783205469041, 1152921504606846976, 3379220508056640625, 9065737908494995456, 22563490300366186081, 52654090776777588736

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795, A016796, A016797, A016798, A016799.

Subsequence of A008456.

Table[(3n+2)^12,{n,0,100}] (* Mohammad K. Azarian, Jun 15 2016 *)

From Amiram Eldar, Apr 01 2022: (Start)
a(n) = A016789(n)^12 = A016790(n)^6 = A016791(n)^4 = A016792(n)^3 = A016794(n)62.
Sum_{n>=0} 1/a(n) = PolyGamma(11, 2/3)/21213424108800. (End)

cp's OEIS Frontend

A016964 a(n) = (6*n + 4)^8.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Formula

A016797 a(n) = (3*n + 2)^9.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula

A016799 a(n) = (3*n + 2)^11.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula

A016800 a(n) = (3*n + 2)^12.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula