A185019 a(n) = n*(14*n-3).

0, 11, 50, 117, 212, 335, 486, 665, 872, 1107, 1370, 1661, 1980, 2327, 2702, 3105, 3536, 3995, 4482, 4997, 5540, 6111, 6710, 7337, 7992, 8675, 9386, 10125, 10892, 11687, 12510, 13361, 14240, 15147, 16082, 17045, 18036, 19055, 20102, 21177, 22280, 23411, 24570

Offset

0,2

Links

Bruno Berselli, Table of n, a(n) for n = 0..1000

Bruno Berselli, Illustration of initial terms: An origin of A185019.

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

Formula

G.f.: x*(11+17*x)/(1-x)^3.

a(n) = A195025(-n).

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n >= 3. - Wesley Ivan Hurt, Dec 18 2020

Mathematica

CoefficientList[Series[x (11 + 17 x)/(1 - x)^3, {x, 0, 45}], x] (*Vincenzo Librandi_, Aug 18 2013 *)

Prog

(PARI) for(n=0, 42, print1(n*(14*n-3)", "));
(Magma) [n*(14*n-3): n in [0..42]];
(Magma) I:=[0, 11, 50]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..50]]; // Vincenzo Librandi, Aug 18 2013

Crossrefs

Cf. A013656, A049452, A033429, A049453, A147296, A195025.

Cf. A195023, A195024; A000384, A135703.

Cf. A195020 (vertices of the numerical spiral in link).

Sequence in context: A306425 A241406 A215728 * A212560 A341735 A340130

Adjacent sequences: A185016 A185017 A185018 * A185020 A185021 A185022

Keyword

nonn,easy

Author

Bruno Berselli, Oct 14 2011 - based on remarks and sequences by Omar E. Pol

Status

approved