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A298786
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Expansion of (x^4 + 2*x^3 + 4*x^2 + 2*x + 1) / ((1 - x)*(1 - x^3)).
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3
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1, 3, 7, 10, 13, 17, 20, 23, 27, 30, 33, 37, 40, 43, 47, 50, 53, 57, 60, 63, 67, 70, 73, 77, 80, 83, 87, 90, 93, 97, 100, 103, 107, 110, 113, 117, 120, 123, 127, 130, 133, 137, 140, 143, 147, 150, 153, 157, 160, 163, 167, 170, 173, 177, 180, 183, 187, 190, 193, 197, 200, 203, 207, 210, 213, 217
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OFFSET
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0,2
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COMMENTS
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Appears to be the coordination sequence for a trivalent node in the bex tiling (or net).
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LINKS
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FORMULA
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a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. - Colin Barker, Jan 27 2018
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MAPLE
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f3:=proc(n)
if n=0 then 1
elif (n mod 3) = 0 then 10*n/3
elif (n mod 3) = 1 then (10*n-1)/3
else (10*n+1)/3; fi; end;
[seq(f3(n), n=0..80)];
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PROG
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(PARI) Vec((1 + 2*x + 4*x^2 + 2*x^3 + x^4) / ((1 - x)^2*(1 + x + x^2)) + O(x^100)) \\ Colin Barker, Jan 27 2018
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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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STATUS
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approved
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