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A114744 a(1) =1, a(2) = 2, a(n+1) = least strictly positive number of the form k*(a(n-1)) - a(n), not included earlier. +0
3
1, 2, 3, 5, 4, 6, 10, 8, 12, 20, 16, 24, 40, 32, 48, 80, 64, 96, 160, 128, 192, 320, 256, 384, 640, 512, 768, 1280, 1024, 2560, 2048, 3072, 5120, 4096, 6144, 10240, 8192, 12288, 20480, 16384, 24576, 40960, 32768, 49152, 81920, 65536, 98304, 131072, 196608 (list; graph; listen)
OFFSET

1,2

COMMENT

a(3n+5) = 2*a(3n+2)= 2^(n+2). a(3n+6) = 2*a(3n+3). = 3*2^(n+1). a(3n+7) = 2*a(3n+4). =5*2^(n). a(5) onwards terms match with that of A114743.

MAPLE

A114744 := proc(nmax) local a, k, nxt; a := [1, 2] ; while nops(a) < nmax do k := 1; nxt := k*op(-2, a)-op(-1, a) ; while nxt in a or nxt <=0 do k := k+1 ; nxt := k*op(-2, a)-op(-1, a) ; od ; a := [op(a), nxt] ; od ; a ; end: A114744(80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007

CROSSREFS

Cf. A114743.

Sequence in context: A097290 A085181 A097347 this_sequence A096114 A121664 A143514

Adjacent sequences: A114741 A114742 A114743 this_sequence A114745 A114746 A114747

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 15 2005

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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