A282854 34-gonal numbers: a(n) = n*(32*n-30)/2.

0, 1, 34, 99, 196, 325, 486, 679, 904, 1161, 1450, 1771, 2124, 2509, 2926, 3375, 3856, 4369, 4914, 5491, 6100, 6741, 7414, 8119, 8856, 9625, 10426, 11259, 12124, 13021, 13950, 14911, 15904, 16929, 17986, 19075, 20196, 21349, 22534, 23751

Offset: 0

Author

Daniel Mohebiravesh, Feb 23 2017

Keywords

• nonn
• easy

Links

• Index to sequences related to polygonal numbers
• Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

Crossrefs

Cf. A246645, A254474, A261191.

Programs

Mathematica

Table[n(32n-30)/2, {n,50}]
PolygonalNumber[34,Range[0,40]] (* or *) LinearRecurrence[{3,-3,1},{0,1,34},40] (* The first program requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 26 2018 *)

PARI

a(n)=n*(16*n-15) \\ Charles R Greathouse IV, Feb 27 2017

Formula

From Nikolaos Pantelidis, Feb 09 2023 : (Start)

G.f.: x*(1 + 31*x)/(1 - x)^3.

E.g.f.: exp(x)*(x + 16*x^2). (End)