A172178 a(n) = 99*n + 1.

1, 100, 199, 298, 397, 496, 595, 694, 793, 892, 991, 1090, 1189, 1288, 1387, 1486, 1585, 1684, 1783, 1882, 1981, 2080, 2179, 2278, 2377, 2476, 2575, 2674, 2773, 2872, 2971, 3070, 3169, 3268, 3367, 3466, 3565, 3664, 3763, 3862, 3961, 4060, 4159, 4258

Offset: 0

Author

Mark Dols, Jan 28 2010

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A017173.

Programs

Magma

[99*n+1: n in [0..50]]; // G. C. Greubel, Apr 26 2022

Mathematica

99*Range[0, 50] + 1 (* or *) LinearRecurrence[{2, -1}, {1, 100}, 50] (* Harvey P. Dale, Apr 09 2012 *)

SageMath

[99*n+1 for n in (0..50)] # G. C. Greubel, Apr 26 2022

Formula

a(n) = a(n-1) + 99 with a(1) = 1.

a(0) = 1, a(1) = 100, a(n) = 2*a(n-1) - a(n-2). - Harvey P. Dale, Apr 09 2012

From G. C. Greubel, Apr 26 2022: (Start)

G.f.: (1 + 98*x)/(1-x)^2.

E.g.f.: (1 + 99*x)*exp(x). (End)

Extensions

Offset corrected by Harvey P. Dale, Apr 09 2012