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Search: id:A122164
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| A122164 |
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a(0) = 0, a(1) = 1, s = 0; for n >= 2, if a(n-1) is even and s = 0 then set a(n) = a(n-1)/2 and s = 1; otherwise set a(n) = a(n-1) + a(n-2) and s = 0. |
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+0 2
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| 0, 1, 1, 2, 1, 3, 4, 2, 6, 3, 9, 12, 6, 18, 9, 27, 36, 18, 54, 27, 81, 108, 54, 162, 81, 243, 324, 162, 486, 243, 729, 972, 486, 1458, 729, 2187, 2916, 1458, 4374, 2187, 6561, 8748, 4374, 13122, 6561, 19683, 26244, 13122, 39366, 19683, 59049, 78732, 39366
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OFFSET
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0,4
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FORMULA
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For i >= 1, a(5i) = 3^i, a(5i+1) = 4*3^(i-1), a(5i+2) = 2*3^(i-1), a(5i+3) = 2*3^i, a(5i+4) = 3^i. - N. J. A. Sloane (njas(AT)research.att.com), Aug 06 2008
O.g.f.: x(-1-x-2x^2-x^3-3x^4-x^5+x^6)/(3x^5-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008]
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CROSSREFS
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Cf. A000045, A122597. Records give A000792.
Sequence in context: A026249 A130527 A026366 this_sequence A076632 A105646 A059126
Adjacent sequences: A122161 A122162 A122163 this_sequence A122165 A122166 A122167
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KEYWORD
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nonn
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AUTHOR
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Philip van den Bossche (filip020667(AT)hotmail.com), Aug 03 2008
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 06 2008
Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008
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