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A047402
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Numbers that are congruent to {2, 3, 6} mod 8.
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0
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2, 3, 6, 10, 11, 14, 18, 19, 22, 26, 27, 30, 34, 35, 38, 42, 43, 46, 50, 51, 54, 58, 59, 62, 66, 67, 70, 74, 75, 78, 82, 83, 86, 90, 91, 94, 98, 99, 102, 106, 107, 110, 114, 115, 118, 122, 123, 126, 130, 131, 134
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| C. P. Simoes, Teste de Desempenho Mental.
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1)
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FORMULA
| a(n)=a(n-3)+8. - Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 14 2006
a(n)=1+2*[ -1/2-(1/2)*I*sqrt(3)]^(-2)*[ -1/2-(1/2)*I*sqrt(3))^(n-1)+2*[ -1/2+(1/2)*I *sqrt(3)]^(-2)*[ -1/2+(1/2)*I*sqrt(3)]^(n-1)+(8/3)*(n-1)-(4/9)*I*sqrt(3)*[ -1/2+(1/2)*I *sqrt(3)]^(n-1)+2*[ -1/2-(1/2)*I*sqrt(3)]^(n-1)+2*[ -1/2+(1/2)*I*sqrt(3)]^(n-1)+(4/9)*I *sqrt(3)*[ -1/2-(1/2)*I*sqrt(3)]^(n-1)+[ -1/2-(1/2)*I*sqrt(3)]^(-1)*[ -1/2-(1/2)*I *sqrt(3)]^(n-1)+[ -1/2+(1/2)*I*sqrt(3)]^(-1)*[ -1/2+(1/2)*I*sqrt(3)]^(n-1), with n>=1 [From Paolo P. Lava (paoloplava(AT)gmail.com), Oct 01 2008]
G.f. x*(2+x+3*x^2+2*x^3) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 08 2011
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CROSSREFS
| Sequence in context: A056058 A028255 A048633 * A088196 A112925 A001635
Adjacent sequences: A047399 A047400 A047401 * A047403 A047404 A047405
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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