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A116484
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Expansion of (-1+3*x)/(5*x^2+1-2*x).
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3
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-1, 1, 7, 9, -17, -79, -73, 249, 863, 481, -3353, -9111, -1457, 42641, 92567, -28071, -518977, -897599, 799687, 6087369, 8176303, -14084239, -69049993, -67678791, 209892383, 758178721, 466895527, -2857102551, -8048682737, -1811852719
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Binomial transform of signed powers of 2: (-1, 2, 4, -8, -16, 32, 64, -128, -256, 512, 1024). Inverse bionomial transform of (-1, 0, 8, 32, 64, 0, -512, -2048, -4096, 0, 32768, 131072, 262144, 0, -2097152, -8388608). Compare with A116483.
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FORMULA
| a(n)=3*A045873(n)-A045873(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2009]
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PROG
| Floretion Algebra Multiplication Program, FAMP Code: 2basekforseq[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
| Cf. A000079, A006495, A116483.
Sequence in context: A022321 A194830 A183344 * A138749 A053803 A032791
Adjacent sequences: A116481 A116482 A116483 * A116485 A116486 A116487
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KEYWORD
| easy,sign
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 17 2006
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