A222260 Lexicographically earliest injective sequence of nonnegative integers such that the sum of 10 consecutive terms is always divisible by 10.

0, 1, 2, 3, 4, 5, 6, 7, 8, 14, 10, 11, 12, 13, 24, 15, 16, 17, 18, 34, 20, 21, 22, 23, 44, 25, 26, 27, 28, 54, 30, 31, 32, 33, 64, 35, 36, 37, 38, 74, 40, 41, 42, 43, 84, 45, 46, 47, 48, 94, 50, 51, 52, 53, 104, 55, 56, 57, 58, 114, 60, 61, 62, 63, 124, 65, 66, 67, 68, 134, 70, 71, 72, 73, 144, 75, 76, 77, 78, 154, 80, 81, 82, 83, 164, 85, 86, 87, 88, 174

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

Formula

a(n) = 2 a(n-5) - a(n-10).

G.f.: x*(1 + 2*x + 3*x^2 + 4*x^3 + 5*x^4 + 4*x^5 + 3*x^6 + 2*x^7 + 6*x^8)/((1 - x)*(1 + x + x^2 + x^3 + x^4))^2.

a(n) = n unless n=4 (mod 5) in which case a(n) = 2n-4.

Crossrefs

Cf. A222256 - A222259, A222261.

Sequence in context: A090144 A162572 A250476 * A032991 A032870 A023763

Adjacent sequences: A222257 A222258 A222259 * A222261 A222262 A222263

Keyword

nonn

Author

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

Status

approved