A222256 Lexicographically earliest injective sequence of nonnegative integers such that the sum of 6 consecutive terms is always divisible by 6.

0, 1, 2, 3, 4, 8, 6, 7, 14, 9, 10, 20, 12, 13, 26, 15, 16, 32, 18, 19, 38, 21, 22, 44, 24, 25, 50, 27, 28, 56, 30, 31, 62, 33, 34, 68, 36, 37, 74, 39, 40, 80, 42, 43, 86, 45, 46, 92, 48, 49, 98, 51, 52, 104, 54, 55, 110, 57, 58, 116, 60, 61, 122, 63, 64, 128, 66, 67, 134, 69, 70, 140

Offset

0,3

Links

Table of n, a(n) for n=0..71.

E. Angelini, k-chunks sum and division by k, post to the SeqFan list, Mar 22 2013

Formula

a(n) = 2 a(n-3) - a(n-6).

G.f.: x*(1 + 2*x + 3*x^2 + 2*x^3 + 4*x^4)/((1-x)*(1+x+x^2))^2.

Crossrefs

Cf. A222257-A222261.

Sequence in context: A123716 A329717 A229927 * A367870 A223540 A364138

Adjacent sequences: A222253 A222254 A222255 * A222257 A222258 A222259

Keyword

nonn

Author

Eric Angelini and M. F. Hasler, Mar 23 2013

Status

approved