A222258 Lexicographically earliest injective sequence of nonnegative integers such that the sum of 8 consecutive terms is always divisible by 8.

0, 1, 2, 3, 4, 5, 6, 11, 8, 9, 10, 19, 12, 13, 14, 27, 16, 17, 18, 35, 20, 21, 22, 43, 24, 25, 26, 51, 28, 29, 30, 59, 32, 33, 34, 67, 36, 37, 38, 75, 40, 41, 42, 83, 44, 45, 46, 91, 48, 49, 50, 99, 52, 53, 54, 107, 56, 57, 58, 115, 60, 61, 62, 123, 64, 65, 66, 131, 68, 69, 70, 139, 72, 73, 74, 147, 76, 77, 78, 155, 80, 81, 82, 163, 84, 85, 86, 171, 88, 89

Offset

0,3

Links

Table of n, a(n) for n=0..89.

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,2,0,0,0,-1).

Formula

a(n) = 2 a(n-4) - a(n-8).

G.f.: x*(1 + 2*x + 3*x^2 + 4*x^3 + 3*x^4 + 2*x^5 + 5*x^6)/((1 - x)*(1 + x)*(1 + x^2))^2.

a(n)=n unless n=3 (mod 4) in which case a(n)=2n-3.

Prog

(PARI) A222258(n)=if(n%4==3, n*2-3, n)

Crossrefs

Cf. A222256, A222257, A222259, A222260, A222261.

Sequence in context: A264967 A266641 A357977 * A266402 A266404 A265569

Adjacent sequences: A222255 A222256 A222257 * A222259 A222260 A222261

Keyword

nonn

Author

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

Status

approved