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Search: id:A034513
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| 3, 13, 91, 757, 6643, 59293, 532171, 4785157, 43053283, 387440173, 3486843451, 31381236757, 282430067923, 2541867422653, 22876797237931, 205891146443557, 1853020231898563, 16677181828806733, 150094635684419611
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Also the sum of n-th powers of the divisors of 9.
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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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G.f.: 1/(1-x)+1/(1-3*x)+1/(1-9*x). E.g.f.: e^x+e^(3*x)+e^(9*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]
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MATHEMATICA
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Table[1^n + 3^n + 9^n, {n, 0, 20}]
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PROGRAM
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(Other) sage: [sigma(9, n)for n in xrange(0, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2009]
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CROSSREFS
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Cf. A001550, A001576, A001579, A074501 - A074580.
Sequence in context: A097711 A114477 A116434 this_sequence A098462 A006898 A129375
Adjacent sequences: A034510 A034511 A034512 this_sequence A034514 A034515 A034516
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KEYWORD
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easy,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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