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A088037 Smallest square k == 1 (mod some n-th power), k > 1. 2
4, 9, 9, 49, 225, 961, 3969, 16129, 65025, 261121, 1046529, 4190209, 16769025, 67092481, 268402689, 1073676289, 4294836225, 17179607041, 68718952449, 274876858369, 1099509530625, 4398042316801, 17592177655809 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
From a(2) onwards the n-th power that divides a(n) -1 is 2^n ===> Second term onwards same as A060867 i.e. a(n+1) = (2^n-1)^2.
LINKS
FORMULA
From Colin Barker, Feb 05 2013: (Start)
a(n) = (2^n-2)^2/4 for n>2.
a(n) = 7*a(n-1)-14*a(n-2)+8*a(n-3) for n>5.
G.f.: x*(2*x+1)*(32*x^3-56*x^2+27*x-4) / ((x-1)*(2*x-1)*(4*x-1)). (End)
EXAMPLE
a(6) = 961 and 960 = 64*15.
CROSSREFS
Cf. A060867.
Sequence in context: A091657 A156047 A171001 * A071768 A301478 A173297
KEYWORD
nonn,easy,changed
AUTHOR
Amarnath Murthy, Sep 19 2003
EXTENSIONS
More terms from Ray Chandler, Oct 04 2003
STATUS
approved

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)