A158129 a(n) = 100*n^2 - 2*n.

0, 98, 396, 894, 1592, 2490, 3588, 4886, 6384, 8082, 9980, 12078, 14376, 16874, 19572, 22470, 25568, 28866, 32364, 36062, 39960, 44058, 48356, 52854, 57552, 62450, 67548, 72846, 78344, 84042, 89940, 96038, 102336, 108834, 115532, 122430, 129528

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

Formula

a(n) = 3*a(n-1) -3*a(n-2) +a(n-3).

G.f.: x*(98+102*x)/(1-x)^3.

Mathematica

Table[100n^2-2n, {n, 50}]

Prog

(Magma) I:=[98, 396, 894]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..50]];
(PARI) a(n) = 100*n^2 - 2*n

Crossrefs

Sequence in context: A072607 A306214 A160828 * A071319 A263040 A263033

Adjacent sequences: A158126 A158127 A158128 * A158130 A158131 A158132

Keyword

nonn,easy

Author

Vincenzo Librandi, Mar 13 2009

Extensions

a(0)=0 prepended by Andrew Howroyd, Sep 12 2024

Status

approved