A156795 a(n) = 81*n - 59.

22, 103, 184, 265, 346, 427, 508, 589, 670, 751, 832, 913, 994, 1075, 1156, 1237, 1318, 1399, 1480, 1561, 1642, 1723, 1804, 1885, 1966, 2047, 2128, 2209, 2290, 2371, 2452, 2533, 2614, 2695, 2776, 2857, 2938, 3019, 3100, 3181, 3262, 3343, 3424, 3505, 3586

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

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

G.f.: x*(22 + 59*x)/(1-x)^2.

E.g.f.: 59 - (59 - 81*x)*exp(x). - G. C. Greubel, Jun 26 2021

Mathematica

LinearRecurrence[{2, -1}, {22, 103}, 50]
81*Range[50]-59 (* Harvey P. Dale, Jun 01 2020 *)

Prog

(Magma) I:=[22, 103]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n)=81*n-59 \\ Charles R Greathouse IV, Dec 23 2011
(Sage) [81*n - 59 for n in (1..50)] # G. C. Greubel, Jun 26 2021

Crossrefs

Cf. A156796, A156797.

Sequence in context: A264852 A044273 A044654 * A095265 A060382 A066450

Adjacent sequences: A156792 A156793 A156794 * A156796 A156797 A156798

Keyword

nonn,easy

Author

Vincenzo Librandi, Feb 16 2009

Status

approved