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A222260
Lexicographically earliest injective sequence of nonnegative integers such that the sum of 10 consecutive terms is always divisible by 10.
3
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
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
KEYWORD
nonn
AUTHOR
Eric Angelini and M. F. Hasler, Mar 23 2013
STATUS
approved