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A165283 a(n) = (2*n + 1)*16^n. 2
1, 48, 1280, 28672, 589824, 11534336, 218103808, 4026531840, 73014444032, 1305670057984, 23089744183296, 404620279021568, 7036874417766400, 121597189939003392, 2089670227099910144, 35740566642812256256 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

G.f.: (1+16*x)/(1-16*x)^2.

Sum_{n>=0} 1/a(n) = 2*log(5/3).

Sum_{n>=0} (-1)^n/a(n) = 4 * arctan(1/4). - Amiram Eldar, Jul 12 2020

PROG

(PARI) a(n)=(2*n+1)*16^n

(MAGMA) [(2*n+1)*16^n: n in [0..20]]; // Vincenzo Librandi, Jun 08 2011

CROSSREFS

Cf. A058962 ((2n+1)4^n), A155988 ((2n+1)9^n).

Sequence in context: A082558 A285169 A163272 * A141407 A004341 A222199

Adjacent sequences:  A165280 A165281 A165282 * A165284 A165285 A165286

KEYWORD

nonn

AUTHOR

Jaume Oliver Lafont, Sep 13 2009

STATUS

approved

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Last modified August 9 15:33 EDT 2022. Contains 356026 sequences. (Running on oeis4.)