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A171473 a(n) = 6*a(n-1)-8*a(n-2)-3 for n > 1; a(0) = 35, a(1) = 135. 12
35, 135, 527, 2079, 8255, 32895, 131327, 524799, 2098175, 8390655, 33558527, 134225919, 536887295, 2147516415, 8590000127, 34359869439, 137439215615, 549756338175, 2199024304127, 8796095119359, 35184376283135 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Related to Reverse and Add trajectory of 22 in base 2: A061561(4*n+3) = 3*a(n).

a(n) = A092431(n+3).

a(n+1)-a(n) = A049775(n+5).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (7,-14,8).

FORMULA

a(n) = 32*4^n+4*2^n-1.

G.f.: (35-110*x+72*x^2)/((1-x)*(1-2*x)*(1-4*x)).

PROG

(PARI) {m=20; v=concat([35, 135], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]-3); v}

(MAGMA) [32*4^n+4*2^n-1: n in [0..30]]; // Vincenzo Librandi, Jul 18 2011

CROSSREFS

Cf. A061561, A092431, A049775, A171470, A171471, A171472.

Sequence in context: A039522 A044367 A044748 * A158586 A267565 A220014

Adjacent sequences:  A171470 A171471 A171472 * A171474 A171475 A171476

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Dec 09 2009

STATUS

approved

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Last modified December 8 15:08 EST 2016. Contains 278945 sequences.