

A083673


First differences have period 6: 2,1,3,4,3,7, 2,1,3,4,3,7, 2,1,...


0



2, 4, 3, 6, 10, 7, 14, 16, 15, 18, 22, 19, 26, 28, 27, 30, 34, 31, 38, 40, 39, 42, 46, 43, 50, 52, 51, 54, 58, 55, 62, 64, 63, 66, 70, 67, 74, 76, 75, 78, 82, 79, 86, 88, 87, 90, 94, 91, 98, 100, 99, 102, 106, 103, 110, 112, 111, 114, 118, 115, 122, 124, 123, 126, 130, 127, 134, 136
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OFFSET

1,1


COMMENTS

Note: not all quizzes permit the use of the OEIS!


LINKS

Table of n, a(n) for n=1..68.
C. P. Simoes, Teste de Desempenho Mental.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,1,1).


FORMULA

a(n+6) = a(n) + 12.
a(n) = 5+Sum_{k=0..n}{(1/30)*(46*(k mod 6)+39*((k+1) mod 6)((k+2) mod 6)16*((k+3) mod 6)+19*((k+4) mod 6)+29*((k+5) mod 6)}  Paolo P. Lava, Aug 29 2007
a(n) = a(n1)+a(n6)a(n7). G.f.: x*(5*x^63*x^5+4*x^4+3*x^3x^2+2*x+2) / ((x1)^2*(x+1)*(x^2x+1)*(x^2+x+1)).  Colin Barker, Jul 31 2013


MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 0, 1, 1}, {2, 4, 3, 6, 10, 7, 14}, 70] (* Harvey P. Dale, Jan 16 2015 *)


CROSSREFS

Sequence in context: A333029 A175498 A318452 * A327120 A131388 A131393
Adjacent sequences: A083670 A083671 A083672 * A083674 A083675 A083676


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane, Jun 15 2003


STATUS

approved



