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Search: id:A116483
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| A116483 |
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Expansion of (1+x)/(5*x^2-2*x+1); related to A006495: Real part of (1+2i)^n. |
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2
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| 1, 3, 1, -13, -31, 3, 161, 307, -191, -1917, -2879, 3827, 22049, 24963, -60319, -245453, -189311, 848643, 2643841, 1044467, -11130271, -27482877, 685601, 138785587, 274143169, -145641597, -1661999039, -2595790093, 3118415009, 19215780483
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of signed powers of 2: (1, 2, -4, -8, 16, 32, -64, -128,). Inverse bionomial transform of (1, 4, 8, 0, -64, -256, -512, 0, 4096, 16384, 32768, 0, -262144, -1048576, -2097152, 0). G.f.*(1-x)/(1+x) gives match to A006495
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP Code: 2ibaseforseq[A*B] with A = - .5'i + .5'j - .5i' + .5j' + 'kk' - .5'ik' - .5'jk' - .5'ki' - .5'kj' and B = - .5'j + .5'k - .5j' + .5k' - 'ii' - .5'ij' - .5'ik' - .5'ji' - .5'ki' ; 1vesforseq = A000004
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CROSSREFS
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Cf. A000079, A006495, A116484.
Sequence in context: A053286 A008826 A103440 this_sequence A010290 A074960 A163545
Adjacent sequences: A116480 A116481 A116482 this_sequence A116484 A116485 A116486
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 17 2006
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