A282851 35-gonal numbers: a(n) = n*(33*n-31)/2.

0, 1, 35, 102, 202, 335, 501, 700, 932, 1197, 1495, 1826, 2190, 2587, 3017, 3480, 3976, 4505, 5067, 5662, 6290, 6951, 7645, 8372, 9132, 9925, 10751, 11610, 12502, 13427, 14385, 15376, 16400, 17457, 18547, 19670, 20826, 22015, 23237, 24492

Offset: 0

Author

Kyu Bin Choi, 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. A255187, A254474, A261191.

Programs

Mathematica

Table[n(33n-31)/2, {n, 50}]
PolygonalNumber[35,Range[0,40]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Nov 12 2017 *)

PARI

for(n=0,100,print1(n*(33*n-31)/2,", ")) \\ Derek Orr, Feb 27 2017

Formula

From Nikolaos Pantelidis, Feb 10 2023: (Start)

G.f.: x*(1 + 32*x)/(1 - x)^3.

E.g.f.: exp(x)*(x + 33*x^2/2). (End)