A161709 a(n) = 22*n + 1.

1, 23, 45, 67, 89, 111, 133, 155, 177, 199, 221, 243, 265, 287, 309, 331, 353, 375, 397, 419, 441, 463, 485, 507, 529, 551, 573, 595, 617, 639, 661, 683, 705, 727, 749, 771, 793, 815, 837, 859, 881, 903, 925, 947, 969, 991, 1013, 1035, 1057, 1079, 1101, 1123

Offset

0,2

References

Italo Ghersi, Matematica dilettevole e curiosa, p. 139, Hoepli, Milano, 1967. [From Vincenzo Librandi, Dec 02 2009]

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

Formula

From G. C. Greubel, Sep 18 2019: (Start)

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

G.f.: (1 + 21*x)/(1-x)^2.

E.g.f.: (1 + 22*x)*exp(x). (End)

Maple

seq(1+22*n, n=0..60); # G. C. Greubel, Sep 18 2019

Mathematica

22*Range[0, 60]+1 (* Harvey P. Dale, Jan 09 2011 *)

Prog

(PARI) vector(60, n, 22*n-21) \\ G. C. Greubel, Sep 18 2019
(Magma) [1+22*n: n in [0..60]]; // G. C. Greubel, Sep 18 2019
(Sage) [1+22*n for n in (0..60)] # G. C. Greubel, Sep 18 2019
(GAP) List([0..60], n-> 1+22*n ); # G. C. Greubel, Sep 18 2019

Crossrefs

Cf. A005408, A008604, A016813, A016921, A017281, A017533, A128470, A158057, A161700, A161705, A161714.

Sequence in context: A214891 A003859 A058545 * A030656 A122041 A266706

Adjacent sequences: A161706 A161707 A161708 * A161710 A161711 A161712

Keyword

nonn,easy

Author

Reinhard Zumkeller, Jun 17 2009

Status

approved