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A116547
Permutation of natural numbers generated by 5-rowed array shown below.
1
0, 5, 1, 10, 6, 2, 15, 11, 7, 3, 20, 16, 12, 8, 4, 25, 21, 17, 13, 9, 30, 26, 22, 18, 14, 35, 31, 27, 23, 19, 40, 36, 32, 28, 24, 45, 41, 37, 33, 29, 50, 46, 42, 38, 34, 55, 51, 47, 43, 39, 60, 56, 52, 48, 44, 65, 61, 57, 53, 49, 70, 66, 62, 58, 54, 75, 71, 67, 63, 59, 80, 76, 72
OFFSET
1,2
COMMENTS
0 5 10 15 20 25 30 35 40 45 ... a(n)=5n
1 6 11 16 21 26 31 36 41 46 ... a(n)=5n+1
2 7 12 17 22 27 32 37 42 47 ... a(n)=5n+2
3 8 13 18 23 28 33 38 43 48 ... a(n)=5n+3
4 9 14 19 24 29 34 39 44 49 ... a(n)=5n+4
REFERENCES
M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988
Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997
LINKS
FORMULA
Starting with term a(10): a(n+5k) = a(n) + 5k, with k>=1.
G.f.: x*(5-4*x+9*x^2-4*x^3-4*x^4+8*x^5-13*x^7+21*x^9-17*x^10+4*x^14)/(1-x-x^5+x^6). - Robert Israel, Mar 23 2017
MAPLE
0, 5, 1, 10, 6, 2, 15, 11, 7, 3, seq(seq(t + 5*k, t=[15, 11, 7, 3, -1]), k=1..20); # Robert Israel, Mar 23 2017
MATHEMATICA
Select[Join[{0}, Table[Most[NestList[#-4&, 5n, 5]], {n, 20}]]//Flatten, #>=0&] (* Harvey P. Dale, Nov 26 2016 *)
CROSSREFS
Sequence in context: A329752 A363969 A135855 * A013612 A112830 A209669
KEYWORD
nonn
AUTHOR
Giovanni Teofilatto, Mar 16 2006
STATUS
approved