A360436 32-gonal numbers: a(n) = n*(15*n-14).

0, 1, 32, 93, 184, 305, 456, 637, 848, 1089, 1360, 1661, 1992, 2353, 2744, 3165, 3616, 4097, 4608, 5149, 5720, 6321, 6952, 7613, 8304, 9025, 9776, 10557, 11368, 12209, 13080, 13981, 14912, 15873, 16864, 17885, 18936, 20017, 21128, 22269, 23440, 24641, 25872

Offset

0,3

Links

Table of n, a(n) for n=0..42.

Index to sequences related to polygonal numbers

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

Formula

G.f.: x*(1 + 29*x)/(1 - x)^3.

E.g.f.: exp(x)*(x + 15*x^2).

Mathematica

Table[n (15 n - 14), {n, 30}]

Prog

(PARI) a(n)=n*(15*n-14) \\ Charles R Greathouse IV, Feb 07 2023

Crossrefs

Cf. A051868, A254474, A161935, A282853.

Sequence in context: A228801 A220581 A297730 * A124804 A188184 A126386

Adjacent sequences: A360433 A360434 A360435 * A360437 A360438 A360439

Keyword

nonn,easy

Author

Nikolaos Pantelidis, Feb 07 2023

Status

approved