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A060416
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a(n) = n*4^n - 1.
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6
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1, 3, 31, 191, 1023, 5119, 24575, 114687, 524287, 2359295, 10485759, 46137343, 201326591, 872415231, 3758096383, 16106127359, 68719476735, 292057776127, 1236950581247, 5222680231935, 21990232555519, 92358976733183
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n = 0..200
Paul Leyland, Factors of Cullen and Woodall numbers
Paul Leyland, Generalized Cullen and Woodall numbers
Amelia Carolina Sparavigna, The groupoids of Mersenne, Fermat, Cullen, Woodall and other Numbers and their representations by means of integer sequences, Politecnico di Torino, Italy (2019), [math.NT].
Amelia Carolina Sparavigna, Some Groupoids and their Representations by Means of Integer Sequences, International Journal of Sciences (2019) Vol. 8, No. 10.
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FORMULA
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G.f.: (1-6*x+28*x^2-32*x^3)/((1-x)*(1-4*x)^2). [Colin Barker, Apr 22 2012]
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MATHEMATICA
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CoefficientList[Series[(1 - 6 x + 28 x^2 - 32 x^3)/((1 - x) (1 - 4 x)^2), {x, 0, 21}], x] (* Michael De Vlieger, Jan 04 2020 *)
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PROG
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(PARI) { for (n=0, 200, write("b060416.txt", n, " ", abs(n*4^n - 1)); ) } \\ Harry J. Smith, Jul 04 2009
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CROSSREFS
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Sequence in context: A007233 A197892 A198009 * A333368 A060425 A203242
Adjacent sequences: A060413 A060414 A060415 * A060417 A060418 A060419
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KEYWORD
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nonn,easy
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AUTHOR
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Jason Earls, Apr 05 2001
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STATUS
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approved
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