

A367651


Inverse of permutation of A160079.


1



0, 1, 3, 4, 2, 5, 8, 7, 6, 12, 9, 11, 16, 10, 13, 20, 15, 14, 24, 17, 19, 28, 18, 21, 32, 23, 22, 36, 25, 27, 40, 26, 29, 44, 31, 30, 48, 33, 35, 52, 34, 37, 56, 39, 38, 60, 41, 43, 64, 42, 45, 68, 47, 46, 72, 49, 51, 76, 50, 53, 80, 55, 54, 84, 57, 59
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OFFSET

0,3


COMMENTS

Permutation of nonnegative numbers.


LINKS

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


FORMULA

a(n) = 2*a(n9)  a(n18) for n >= 18.
a(9*n) = 12*n, a(9*n+1) = 8*n+1, a(9*n+2) = 8*n+3, a(9*n+3) = 12*n+4, a(9*n+4) = 8*n+2, a(9*n+5) = 8*n+5, a(9*n+6) = 12*n+8, a(9*n+7) = 8n+7, a(9*n+8) = 8*n+6.
a(n) = a(n3) + a(n9)  a(n12) for n >= 12.
G.f.: (x + 3*x^2 + 4*x^3 + x^4 + 2*x^5 + 4*x^6 + 5*x^7 + x^8 + 4*x^9 + x^10 + 2*x^11) / ((1  x)^2*(1 + x + x^2)^2*(1 + x^3 + x^6)).


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



