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A034524
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a(n) = 11^n + 1.
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22
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2, 12, 122, 1332, 14642, 161052, 1771562, 19487172, 214358882, 2357947692, 25937424602, 285311670612, 3138428376722, 34522712143932, 379749833583242, 4177248169415652, 45949729863572162, 505447028499293772
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 1/(1-x) + 1/(1-11*x).
E.g.f.: exp(x) + exp(11*x). (End)
a(n) = 11*a(n-1) - 10.
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MATHEMATICA
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LinearRecurrence[{12, -11}, {2, 12}, 18] (* Ray Chandler, Aug 26 2015 *)
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PROG
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(Sage) [sigma(11, n)for n in range(0, 18)] # - Zerinvary Lajos, Jun 04 2009
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CROSSREFS
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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).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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