A093545 Sorted mapping of A093544 onto the integers.

0, 2, 1, 5, 7, 3, 10, 12, 4, 15, 17, 6, 20, 22, 8, 25, 27, 9, 30, 32, 11, 35, 37, 13, 40, 42, 14, 45, 47, 16, 50, 52, 18, 55, 57, 19, 60, 62, 21, 65, 67, 23, 70, 72, 24, 75, 77, 26, 80, 82, 28, 85, 87, 29, 90, 92, 31, 95, 97, 33, 100, 102, 34, 105, 107, 36, 110, 112, 38

Offset

0,2

Comments

As A093544 contains the odd numbers not of form 12k+9, we map from modulo 12 to modulo 5: 1->0, 3->1, 5->2, 7->3, 11->4.

Links

Michael De Vlieger, Table of n, a(n) for n = 0..10000

Index entries for sequences that are permutations of the nonnegative integers

Index entries for linear recurrences with constant coefficients, signature (0,0,1,0,0,0,0,0,1,0,0,-1).

Formula

a(3n) = 5n, a(3n+1) = 5n+2, a(3n+2) = A047206(n).

G.f.: x*(x^10 + 3*x^9 + 5*x^8 + x^7 + 5*x^6 + 5*x^5 + 2*x^4 + 5*x^3 + 5*x^2 + x + 2)/(1 - x^3 - x^9 + x^12).

Mathematica

CoefficientList[Series[x (x^10 + 3 x^9 + 5 x^8 + x^7 + 5 x^6 + 5 x^5 + 2 x^4 + 5 x^3 + 5 x^2 + x + 2)/(1 - x^3 - x^9 + x^12), {x, 0, 68}], x] (* Michael De Vlieger, Mar 05 2021 *)

Prog

(PARI) a(n)=5*(A093544(n)\12)+if(A093544(n)%12==11, 4, ((A093544(n)%12)-1)/2)

Crossrefs

Cf. A047206, A340615 (inverse permutation), A014682.

Sequence in context: A109261 A085240 A002251 * A293845 A249265 A259972

Adjacent sequences: A093542 A093543 A093544 * A093546 A093547 A093548

Keyword

nonn

Author

Ralf Stephan, Mar 31 2004

Status

approved