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A007879
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Chimes made by clock striking the hour and half-hour.
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6
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1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12
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OFFSET
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0,4
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COMMENTS
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).
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FORMULA
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G.f.: 1/(1-x^2)+x(12x^26-13x^24+1)/((1-x^24)(1-x^2)^2).
G.f.: (1+x-x^2-x^24-13x^25+x^26+12x^27)/((1-x^24)(1-x^2)^2).
a(n) = 1 + ((n-1)*(1-(-1)^n)/4) mod 12.
a(n) = 1 + ((n-1)*(n mod 2)/2) mod 12. (End)
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MATHEMATICA
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CoefficientList[Series[(1+x-x^2-x^24-13x^25+x^26+12x^27)/((1-x^24)(1-x^2)^2), {x, 0, 71}], x] (* Stefano Spezia, Mar 27 2022 *)
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PROG
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(PARI) a(n)= 1 + ((n-1)*(1-(-1)^n)/4) % 12 \\ Michel Marcus, Jul 17 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Jan Wolitzky
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STATUS
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approved
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