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A062394
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a(n) = 6^n + 1.
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50
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2, 7, 37, 217, 1297, 7777, 46657, 279937, 1679617, 10077697, 60466177, 362797057, 2176782337, 13060694017, 78364164097, 470184984577, 2821109907457, 16926659444737, 101559956668417, 609359740010497, 3656158440062977
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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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a(n) = 6*a(n-1) - 5.
a(n) = 7*a(n-1) - 6*a(n-2).
G.f.: 1/(1-x) + 1/(1-6*x).
E.g.f.: exp(x) + exp(6*x). (End)
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MATHEMATICA
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6^Range[0, 30] +1
LinearRecurrence[{7, -6}, {2, 7}, 30] (* Harvey P. Dale, Aug 11 2015 *)
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PROG
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(SageMath) [6^n+1 for n in range(31)] # G. C. Greubel, Mar 11 2023
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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), this sequence (m=6), A034491 (m=7), A062395 (m=8), A062396 (m=9), A062397 (m=10), A034524 (m=11), A178248 (m=12), A141012 (m=13), A228081 (m=64).
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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