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A032769
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Numbers that are congruent to {0, 1, 2, 4} mod 5.
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2
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0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 36, 37, 39, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 67, 69, 70, 71, 72, 74, 75, 76, 77, 79, 80, 81, 82, 84, 85
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| n(n+1)(n+2)(n+3)(n+4) / n+(n+1)+(n+2)+(n+3)+(n+4) is an integer.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,1,-1).
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FORMULA
| (1/8) {10n - 1 - (-1)^n - 2(-1)^[(n-1)/2] }. - Ralf Stephan, Jun 09 2005
a(n)=floor((5n-4)/4) [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 06 2010]
G.f. x^2*(1+x+2*x^2+x^3) / ( (1+x)*(1+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011
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MAPLE
| seq(floor((5*n-4)/4), n=1..69); [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 06 2010]
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CROSSREFS
| Cf. A032768, A032770.
Sequence in context: A039186 A184516 A184738 * A039139 A024616 A023733
Adjacent sequences: A032766 A032767 A032768 * A032770 A032771 A032772
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KEYWORD
| nonn
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), May 15, 1998.
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EXTENSIONS
| Better description from Michael Somos, Jun 08 2000.
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