A282851 - OEIS

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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

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..39.

Index to sequences related to polygonal numbers

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

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)

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 *)

PROG

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

CROSSREFS

Cf. A255187, A254474, A261191.

Sequence in context: A044222 A044603 A063795 * A015882 A347384 A010085

Adjacent sequences: A282848 A282849 A282850 * A282852 A282853 A282854

KEYWORD

nonn,easy

AUTHOR

Kyu Bin Choi, Feb 23 2017

STATUS

approved