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A034524
a(n) = 11^n + 1.
23
2, 12, 122, 1332, 14642, 161052, 1771562, 19487172, 214358882, 2357947692, 25937424602, 285311670612, 3138428376722, 34522712143932, 379749833583242, 4177248169415652, 45949729863572162, 505447028499293772
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Jan 02 2009: (Start)
G.f.: 1/(1-x) + 1/(1-11*x).
E.g.f.: exp(x) + exp(11*x). (End)
From G. C. Greubel, Mar 11 2023: (Start)
a(n) = 11*a(n-1) - 10.
a(n) = A001020(n) + 1. (End)
MATHEMATICA
LinearRecurrence[{12, -11}, {2, 12}, 18] (* Ray Chandler, Aug 26 2015 *)
11^Range[0, 30]+1 (* G. C. Greubel, Mar 11 2023 *)
PROG
(Sage) [sigma(11, n)for n in range(0, 18)] # - Zerinvary Lajos, Jun 04 2009
(PARI) a(n)=11^n+1 \\ Charles R Greathouse IV, Sep 24 2015
(Magma) [11^n +1: n in [0..30]]; // G. C. Greubel, Mar 11 2023
CROSSREFS
Sequences of the form m^n + 1: A000012 (m=0), A007395 (m=1), A000051 (m=2), A034472 (m=3), A052539 (m=4), A034474 (m=5), A062394 (m=6), A034491 (m=7), A062395 (m=8), A062396 (m=9), A062397 (m=10), this sequence (m=11), A178248 (m=12), A141012 (m=13), A228081 (m=64).
Cf. A001020.
Sequence in context: A221279 A165300 A028359 * A051782 A048173 A058349
KEYWORD
nonn,easy
STATUS
approved