A335163 Nim n-th power of 4.

1, 4, 6, 14, 5, 2, 8, 11, 7, 10, 3, 12, 13, 9, 15, 1, 4, 6, 14, 5, 2, 8, 11, 7, 10, 3, 12, 13, 9, 15, 1, 4, 6, 14, 5, 2, 8, 11, 7, 10, 3, 12, 13, 9, 15, 1, 4, 6, 14, 5, 2, 8, 11, 7, 10, 3, 12, 13, 9, 15, 1, 4, 6, 14, 5, 2, 8, 11, 7, 10, 3, 12, 13, 9, 15, 1, 4

Offset: 0

Author

N. J. A. Sloane, Jun 12 2020

Keywords

• nonn

Links

• J. H. Conway, Integral lexicographic codes, Discrete Mathematics 83.2-3 (1990): 219-235. See Table 3.
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Crossrefs

A row of the array in A335162.

Programs

PARI

Vec((1 + 4*x + 6*x^2 + 14*x^3 + 5*x^4 + 2*x^5 + 8*x^6 + 11*x^7 + 7*x^8 + 10*x^9 + 3*x^10 + 12*x^11 + 13*x^12 + 9*x^13 + 15*x^14) / (1 - x^15) + O(x^80)) \\ Colin Barker, Jun 16 2020

PARI

a(n)=[1, 4, 6, 14, 5, 2, 8, 11, 7, 10, 3, 12, 13, 9, 15][n%15+1]; \\ Joerg Arndt, Jun 16 2020

Formula

a(n+15) = a(n). - Rémy Sigrist, Jun 12 2020

G.f.: (1 + 4*x + 6*x^2 + 14*x^3 + 5*x^4 + 2*x^5 + 8*x^6 + 11*x^7 + 7*x^8 + 10*x^9 + 3*x^10 + 12*x^11 + 13*x^12 + 9*x^13 + 15*x^14) / (1 - x^15). - Colin Barker, Jun 16 2020

Extensions

More terms from Rémy Sigrist, Jun 12 2020