login
A143332
Related to Gray code representation of Fibonacci(n) in base 10.
0
0, 1, 1, 3, 2, 7, 12, 11, 31, 51, 44, 117, 216, 157, 453, 851, 566, 803, 788, 127, 859, 931, 440, 521, 432, 409, 809, 739, 458, 239, 828, 947, 391, 531, 148, 173, 360, 837, 61, 1011, 942, 475, 36, 375, 307, 579, 496, 145, 864, 689, 465
OFFSET
0,4
COMMENTS
This is not A003188(A000045(n)) for n >= 17. - Jose-Angel Oteo, Mar 09 2015
The Gray code of Fibonacci(n) is now listed in A255919 = A003188 o A000045. It would be appreciated to know the precise definition of the present sequence, presumably computed via the incomplete and somewhat obscure Mathematica code given below. In view of the definition, might it be related to the decimal Gray code A003100 or another variant? R. J. Mathar remarks that A143214 and A143210 have Mathematica code of a two-argument GrayCode[] function. - M. F. Hasler, Mar 11 2015
MATHEMATICA
GrayCodeList[k_] := Module[{b = IntegerDigits[k, 2], i}, Do[ If[b[[i - 1]] == 1, b[[i]] = 1 - b[[i]]], {i, Length[b], 2, -1} ]; b ]; FromGrayCodeList[d_] := Module[{b = d, i, j}, Do[ If[Mod[Sum[b[[j]], {j, i - 1}], 2] == 1, b[[i]] = 1 - b[[i]]], {i, n = Length[d], 2, -1} ]; FromDigits[b, 2] ]; GrayCode[i_, n_] :=
CROSSREFS
KEYWORD
nonn,obsc
AUTHOR
EXTENSIONS
Edited by M. F. Hasler, Mar 11 2015
STATUS
approved