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Search: id:A079598
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A079598 2^(4n+1)-2^(2n). +0
3
1, 28, 496, 8128, 130816, 2096128, 33550336, 536854528, 8589869056, 137438691328, 2199022206976, 35184367894528, 562949936644096, 9007199187632128, 144115187807420416, 2305843008139952128 (list; graph; listen)
OFFSET

0,2

COMMENT

A sequence rich in perfect numbers.

FORMULA

a(n+1) = 16*a(n) + 12*2^(2n).

a(n) = Sum_{k=1..2^n} (2*k-1)^3. - Franz Vrabec (franz.vrabec(AT)planetuniqa.at), Jun 24 2006

EXAMPLE

a(2) = 2^9 - 2^4 = 512 - 16 = 496

CROSSREFS

Cf. A006516.

Sequence in context: A028170 A076172 A004336 this_sequence A046999 A046986 A028145

Adjacent sequences: A079595 A079596 A079597 this_sequence A079599 A079600 A079601

KEYWORD

nonn,easy

AUTHOR

Marco Matosic (marcomatosic(AT)hotmail.com), Jan 28 2003

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


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