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A214394
If n mod 6 = 0 then n/6 else n.
1
0, 1, 2, 3, 4, 5, 1, 7, 8, 9, 10, 11, 2, 13, 14, 15, 16, 17, 3, 19, 20, 21, 22, 23, 4, 25, 26, 27, 28, 29, 5, 31, 32, 33, 34, 35, 6, 37, 38, 39, 40, 41, 7, 43, 44, 45, 46, 47, 8, 49, 50, 51, 52, 53, 9, 55, 56, 57, 58, 59, 10, 61
OFFSET
0,3
LINKS
FORMULA
a(n) = 2*a(n-6) - a(n-12). - G. C. Greubel, Oct 26 2017 [corrected by Georg Fischer, Mar 12 2020]
a(n) = A244414(n) when n is not a multiple of 36 (A044102). - Michel Marcus, Oct 28 2017
a(n) = floor(n/6) + sign(n mod 6) * (n - floor(n/6)). - Wesley Ivan Hurt, Oct 28 2017
EXAMPLE
a(36) = 36/6 = 6.
MATHEMATICA
Table[If[Mod[n, 6] == 0, n/6, n], {n, 0, 50}] (* G. C. Greubel, Oct 26 2017 *)
PROG
(PARI) a(n)=if(n%6, n, n/6) \\ G. C. Greubel, Oct 26 2017
(PARI) first(n) = my(res = vector(n, i, i-1)); forstep(i = 1, n, 6, res[i] \= 6); res \\ David A. Corneth, Oct 28 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jeremy Gardiner, Jul 15 2012
STATUS
approved