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A079598 2^(4n+1)-2^(2n). 3
1, 28, 496, 8128, 130816, 2096128, 33550336, 536854528, 8589869056, 137438691328, 2199022206976, 35184367894528, 562949936644096, 9007199187632128, 144115187807420416, 2305843008139952128 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A sequence rich in perfect numbers.

LINKS

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (20,-64).

FORMULA

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

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

G.f. ( 1+8*x ) / ( (16*x-1)*(4*x-1) ). - R. J. Mathar, Nov 29 2011

PROG

(PARI) a(n)=2^(4*n+1)-4^n \\ Charles R Greathouse IV, Nov 29 2011

CROSSREFS

Cf. A006516.

Sequence in context: A211677 A076172 A004336 * A212302 A046999 A046986

Adjacent sequences:  A079595 A079596 A079597 * A079599 A079600 A079601

KEYWORD

nonn,easy

AUTHOR

Marco Matosic, Jan 28 2003

STATUS

approved

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Last modified February 16 05:10 EST 2019. Contains 320140 sequences. (Running on oeis4.)