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Search: id:A062394
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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
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n) = 6a(n-1)-5 = A000400(n)+1 = 7a(n-1) - 6a(n-2).
G.f.: 1/(1-x)+1/(1-6*x). E.g.f.: e^x+e^(6*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 02 2009]
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MATHEMATICA
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Table[6^n + 1, {n, 0, 20}]
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CROSSREFS
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Cf. A054977, A007395, A000051, A034472, A052539, A034474, A034491, A062395, A062396, A062397, A007689, A063376, A063481, A074600 - A074624, A034524 for numbers one more than powers.
Sequence in context: A041051 A047066 A002787 this_sequence A063766 A020040 A125191
Adjacent sequences: A062391 A062392 A062393 this_sequence A062395 A062396 A062397
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jun 22 2001
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