A071046 Number of 0's in n-th row of triangle in A071031, cellular automaton "rule 62".

0, 0, 2, 1, 4, 3, 4, 5, 7, 5, 8, 8, 9, 9, 11, 10, 13, 12, 13, 14, 16, 14, 17, 17, 18, 18, 20, 19, 22, 21, 22, 23, 25, 23, 26, 26, 27, 27, 29, 28, 31, 30, 31, 32, 34, 32, 35, 35, 36, 36, 38, 37, 40, 39, 40, 41, 43, 41, 44, 44, 45, 45, 47, 46, 49, 48, 49, 50, 52, 50, 53

Offset

0,3

Links

Table of n, a(n) for n=0..70.

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

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

Formula

G.f.: (x^6+x^5+4x^4+x^3+2x^2)/((1-x^3)(1-x^4)).

a(n) = A005408(n) - A071047(n). - Antti Karttunen, Jan 03 2016

Mathematica

CoefficientList[Series[(x^6 + x^5 + 4 x^4 + x^3 + 2 x^2)/((1 - x^3) (1 - x^4)), {x, 0, 100}], x] (* Wesley Ivan Hurt, Jan 03 2016 *)

Crossrefs

Cf. A005408, A071031, A071047 (number of 1's).

Cf. A266813 (partial sums).

Sequence in context: A276638 A116449 A316433 * A324757 A144334 A141210

Adjacent sequences: A071043 A071044 A071045 * A071047 A071048 A071049

Keyword

nonn,easy

Author

Hans Havermann, May 26 2002

Status

approved