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Search: id:A119901
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A119901 Difference between two consecutive squares enclosing 3^(2n+1). +0
1
3, 11, 31, 93, 281, 841, 2525, 7575, 22727, 68183, 204551, 613655, 1840965, 5522897, 16568691, 49706071, 149118215, 447354647, 1342063941, 4026191825, 12078575475, 36235726425, 108707179277, 326121537829, 978364613487 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = 2*Floor(3^((2n + 1)/2)) + 1.

EXAMPLE

a(2)=31 because 3^(2*2+1)=3^5=243, 15^2<243<16^2, and 16^2-15^2=256-225=31

MATHEMATICA

f[n_] := 2*Floor[3^((2n + 1)/2)] + 1; Table[f[n], {n, 0, 25}] (*Chandler*)

CROSSREFS

Sequence in context: A034543 A054343 A108898 this_sequence A106934 A095692 A076477

Adjacent sequences: A119898 A119899 A119900 this_sequence A119902 A119903 A119904

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), May 27 2006

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 09 2006

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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