A159551 a(n) = 101*n + 10.

10, 111, 212, 313, 414, 515, 616, 717, 818, 919, 1020, 1121, 1222, 1323, 1424, 1525, 1626, 1727, 1828, 1929, 2030, 2131, 2232, 2333, 2434, 2535, 2636, 2737, 2838, 2939, 3040, 3141, 3242, 3343, 3444, 3545, 3646, 3747, 3848, 3949, 4050, 4151, 4252, 4353, 4454, 4555

Offset: 0

Author

Robert G. Wilson v, Apr 14 2009

Keywords

• easy
• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..5000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A017281, A017509.

Programs

Magma

[101*n+10: n in [0..50]]; // Vincenzo Librandi, Jul 30 2011

Mathematica

f[n_] := FromDigits[ IntegerDigits[n^3 + n^2 + n - 1, n + 1]]; Array[f, 54]

Formula

From Elmo R. Oliveira, Apr 03 2025: (Start)

G.f.: (10 + 91*x)/(1-x)^2.

E.g.f.: exp(x)*(10 + 101*x).

a(n) = 2*a(n-1) - a(n-2). (End)

Extensions

Offset changed from 1 to 0 by Vincenzo Librandi, Jul 30 2011