A116547 Permutation of natural numbers generated by 5-rowed array shown below.

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

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Cf. A115302, A116080.

Sequence in context: A329752 A363969 A135855 * A013612 A112830 A209669

Adjacent sequences: A116544 A116545 A116546 * A116548 A116549 A116550

Keyword

nonn

Author

Giovanni Teofilatto, Mar 16 2006

Status

approved