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

0,2

Links

Table of n, a(n) for n=0..76.

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).

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

Prog

(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

Crossrefs

A row of the array in A335162.

Sequence in context: A012776 A240198 A016072 * A365963 A095867 A253535

Adjacent sequences: A335160 A335161 A335162 * A335164 A335165 A335166

Keyword

nonn

Author

N. J. A. Sloane, Jun 12 2020

Extensions

More terms from Rémy Sigrist, Jun 12 2020

Status

approved