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A152101 Semiprimes based on powers of two and primes: a(n)=16^n - 3*2^(2*n - 1) - 1=(2^(2*n - 1) - 1)*(2^(2*n + 1) + 1) +0
1
9, 231, 3999, 65151, 1047039, 16771071, 268410879, 4294868991, 68719083519, 1099510054911, 17592179752959, 281474951544831, 4503599526707199, 72057593635274751, 1152921502996234239, 18446744067267100671 (list; graph; listen)
OFFSET

1,1

COMMENT

Idea resulted from seqfan posts by Artur Jasinski (grafix(AT)csl.pl).

FORMULA

a(n)=16^n - 3*2^(2*n - 1) - 1=(2^(2*n - 1) - 1)*(2^(2*n + 1) + 1).

MATHEMATICA

b[n_] := 16^n - 3*2^(2*n - 1) - 1. Table[b[n], {n, 1, 30}]

CROSSREFS

Sequence in context: A095363 A138564 A158728 this_sequence A165389 A153223 A157569

Adjacent sequences: A152098 A152099 A152100 this_sequence A152102 A152103 A152104

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 24 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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