A360488 - OEIS

%I #11 Jul 04 2023 14:27:06

%S 0,1,31,90,178,295,441,616,820,1053,1315,1606,1926,2275,2653,3060,

%T 3496,3961,4455,4978,5530,6111,6721,7360,8028,8725,9451,10206,10990,

%U 11803,12645,13516,14416,15345,16303,17290,18306,19351,20425,21528,22660,23821,25011,26230

%N 31-gonal numbers: a(n) = n*(29*n-27)/2.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3, -3, 1).

%F G.f.: x*(1 + 28*x)/(1 - x)^3.

%F E.g.f.: exp(x)*(x + 29*x^2/2).

%t Table[n (29 n - 27)/2, {n, 0, 30}]

%Y Cf. A360436, A051867, A051869.

%Y Cf. A126385, A126418, A126499.

%K nonn

%O 0,3

%A _Nikolaos Pantelidis_, Feb 09 2023