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A029739
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Numbers that are congruent to {1, 3, 4} mod 6.
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1
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1, 3, 4, 7, 9, 10, 13, 15, 16, 19, 21, 22, 25, 27, 28, 31, 33, 34, 37, 39, 40, 43, 45, 46, 49, 51, 52, 55, 57, 58, 61, 63, 64, 67, 69, 70, 73, 75, 76, 79, 81, 82, 85, 87, 88, 91, 93, 94, 97, 99, 100, 103, 105, 106, 109, 111, 112, 115, 117, 118, 121, 123, 124
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| P. De Geest, More palindromic products of integer sequences: Three consecutive palindromes
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,-1).
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FORMULA
| a(n)=-2+Sum_{k=1..n}{(k mod 3)+[(k+1) mod 3]}, with n>=1 [From Paolo P. Lava (paoloplava(AT)gmail.com), Sep 03 2010]
G.f. x*(2*x+1)*(x^2+1) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Aug 24 2011
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MATHEMATICA
| Select[Range[0, 202], MemberQ[{1, 3, 4}, Mod[#, 6]] &] (* and *) Join[{1}, Accumulate[Total /@ CellularAutomaton[65, {1, 1, 0, 0, 1, 0}, 100]]] (* From Vladimir Joseph Stephan Orlovsky, Feb 11 2012 *)
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PROG
| (MAGMA)[ n: n in [0..150] | n mod 6 in {1, 3, 4} ]; [From Vincenzo Librandi, Dec 29 2010]
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CROSSREFS
| Sequence in context: A059010 A066928 A032726 * A005098 A185661 A002977
Adjacent sequences: A029736 A029737 A029738 * A029740 A029741 A029742
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KEYWORD
| nonn,changed
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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