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A105951
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a(2n) = -(2^(2n+1) + 1), a(2n+1) = (2^(n+1) - (-1)^n)^2.
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1
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-3, 1, -9, 25, -33, 49, -129, 289, -513, 961, -2049, 4225, -8193, 16129, -32769, 66049, -131073, 261121, -524289, 1050625, -2097153, 4190209, -8388609, 16785409, -33554433, 67092481, -134217729, 268468225, -536870913, 1073676289, -2147483649
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| This sequence appears to have the property that for m > n: if s divides a(n) and a(m) then s also divides a(2m-n). For example, 11 divides -33 = a(4), 11 divides -32769 = a(14) and 11 divides a(2*14-4) = a(24) = -33554433.
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LINKS
| Robert Munafo, Sequences Related to Floretions
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FORMULA
| G.f. -(3+8*x+18*x^2+16*x^3)/((2*x+1)*(x+1)*(2*x^2+1))
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PROG
| Floretion Algebra Multiplication Program, FAMP Code: 4tesseq[ - .75'i - .75i' - .75'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' - .75e]
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CROSSREFS
| Sequence in context: A118793 A160568 A157403 * A038202 A128415 A090479
Adjacent sequences: A105948 A105949 A105950 * A105952 A105953 A105954
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KEYWORD
| easy,sign
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 27 2005
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