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A171473
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a(n) = 6*a(n-1)-8*a(n-2)-3 for n > 1; a(0) = 35, a(1) = 135.
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12
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35, 135, 527, 2079, 8255, 32895, 131327, 524799, 2098175, 8390655, 33558527, 134225919, 536887295, 2147516415, 8590000127, 34359869439, 137439215615, 549756338175, 2199024304127, 8796095119359, 35184376283135
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OFFSET
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0,1
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COMMENTS
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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).
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..500
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FORMULA
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a(n) = 32*4^n+4*2^n-1.
G.f.: 3*(35-110*x+72*x^2)/((1-x)*(1-2*x)*(1-4*x)).
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PROG
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(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
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CROSSREFS
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Cf. A061561, A092431, A049775, A171470, A171471, A171472.
Sequence in context: A039522 A044367 A044748 * A158586 A220014 A157286
Adjacent sequences: A171470 A171471 A171472 * A171474 A171475 A171476
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KEYWORD
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nonn,easy
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AUTHOR
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Klaus Brockhaus, Dec 09 2009
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STATUS
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approved
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