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A222261 Lexicographically earliest injective sequence of positive integers such that the sum of 10 consecutive terms is always divisible by 10. 5
1, 2, 3, 4, 5, 6, 7, 8, 9, 15, 11, 12, 13, 14, 25, 16, 17, 18, 19, 35, 21, 22, 23, 24, 45, 26, 27, 28, 29, 55, 31, 32, 33, 34, 65, 36, 37, 38, 39, 75, 41, 42, 43, 44, 85, 46, 47, 48, 49, 95, 51, 52, 53, 54, 105, 56, 57, 58, 59, 115, 61, 62, 63, 64, 125, 66, 67, 68, 69, 135, 71, 72, 73, 74, 145, 76, 77, 78, 79, 155, 81 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..81.

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 + x^8 + 5*x^9)/((1 - x)*(1 + x + x^2 + x^3 + x^4))^2.

a(n)=n unless n=0 (mod 5) in which case a(n)=2n-5.

CROSSREFS

Cf. A222256-A222260.

Sequence in context: A033081 A032579 A151543 * A242415 A242420 A242419

Adjacent sequences:  A222258 A222259 A222260 * A222262 A222263 A222264

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified January 17 10:30 EST 2019. Contains 319218 sequences. (Running on oeis4.)